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1272733920 = 253251038581
BaseRepresentation
bin100101111011100…
…0110000011100000
310021200212120201100
41023313012003200
510101304441140
6330143034400
743353026343
oct11367060340
93250776640
101272733920
115a3474917
122b629ba00
131738ac4c3
14c106445a
1576b06530
hex4bdc60e0

1272733920 has 144 divisors (see below), whose sum is σ = 4385882592. Its totient is φ = 336061440.

The previous prime is 1272733897. The next prime is 1272733937. The reversal of 1272733920 is 293372721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12727339202 = 3239703262237132800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144030 + ... + 152610.

It is an arithmetic number, because the mean of its divisors is an integer number (30457518).

Almost surely, 21272733920 is an apocalyptic number.

1272733920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192941296).

1272733920 is an abundant number, since it is smaller than the sum of its proper divisors (3113148672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1272733920 is a wasteful number, since it uses less digits than its factorization.

1272733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1272733920 is about 35675.3965640187. The cubic root of 1272733920 is about 1083.7086493404.

The spelling of 1272733920 in words is "one billion, two hundred seventy-two million, seven hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1030 1236 1440 1545 1648 1854 2060 2472 3090 3296 3708 4120 4635 4944 6180 7416 8240 8581 9270 9888 12360 14832 16480 17162 18540 24720 25743 29664 34324 37080 42905 49440 51486 68648 74160 77229 85810 102972 128715 137296 148320 154458 171620 205944 257430 274592 308916 343240 386145 411888 514860 617832 686480 772290 823776 883843 1029720 1235664 1372960 1544580 1767686 2059440 2471328 2651529 3089160 3535372 4118880 4419215 5303058 6178320 7070744 7954587 8838430 10606116 12356640 13257645 14141488 15909174 17676860 21212232 26515290 28282976 31818348 35353720 39772935 42424464 53030580 63636696 70707440 79545870 84848928 106061160 127273392 141414880 159091740 212122320 254546784 318183480 424244640 636366960 1272733920