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1292929920 = 27325224467
BaseRepresentation
bin100110100010000…
…1000101110000000
310100002212122102100
41031010020232000
510121442224140
6332143550400
744016502662
oct11504105600
93302778370
101292929920
11603909427
12300bbb400
13177b30bb9
14c3a00532
1578795530
hex4d108b80

1292929920 has 96 divisors (see below), whose sum is σ = 4464668520. Its totient is φ = 344779776.

The previous prime is 1292929919. The next prime is 1292929943. The reversal of 1292929920 is 299292921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106474 + ... + 117993.

Almost surely, 21292929920 is an apocalyptic number.

1292929920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1292929920 is an abundant number, since it is smaller than the sum of its proper divisors (3171738600).

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

1292929920 is a wasteful number, since it uses less digits than its factorization.

1292929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224492 (or 224477 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1292929920 is about 35957.3347176901. The cubic root of 1292929920 is about 1089.4107636457.

It can be divided in two parts, 12929 and 29920, that added together give a square (42849 = 2072).

The spelling of 1292929920 in words is "one billion, two hundred ninety-two million, nine hundred twenty-nine 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 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 224467 448934 673401 897868 1122335 1346802 1795736 2020203 2244670 2693604 3367005 3591472 4040406 4489340 5387208 6734010 7182944 8080812 8978680 10101015 10774416 13468020 14365888 16161624 17957360 20202030 21548832 26936040 28731776 32323248 35914720 40404060 43097664 53872080 64646496 71829440 80808120 86195328 107744160 129292992 143658880 161616240 215488320 258585984 323232480 430976640 646464960 1292929920