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1272001280 = 28511611481
BaseRepresentation
bin100101111010001…
…0011001100000000
310021122111100201112
41023310103030000
510101113020110
6330115222452
743343555354
oct11364231400
93248440645
101272001280
115a3014430
122b5ba7a28
131736b3ba4
14c0d13464
1576a0e405
hex4bd13300

1272001280 has 144 divisors (see below), whose sum is σ = 3380596128. Its totient is φ = 454656000.

The previous prime is 1272001169. The next prime is 1272001301. The reversal of 1272001280 is 821002721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858140 + ... + 859620.

It is an arithmetic number, because the mean of its divisors is an integer number (23476362).

Almost surely, 21272001280 is an apocalyptic number.

1272001280 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 1272001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690298064).

1272001280 is an abundant number, since it is smaller than the sum of its proper divisors (2108594848).

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

1272001280 is a wasteful number, since it uses less digits than its factorization.

1272001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1272001280 is about 35665.1269449584. The cubic root of 1272001280 is about 1083.5006664336.

The spelling of 1272001280 in words is "one billion, two hundred seventy-two million, one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 80 88 110 122 128 160 176 220 244 256 305 320 352 440 488 610 640 671 704 880 976 1220 1280 1342 1408 1481 1760 1952 2440 2684 2816 2962 3355 3520 3904 4880 5368 5924 6710 7040 7405 7808 9760 10736 11848 13420 14080 14810 15616 16291 19520 21472 23696 26840 29620 32582 39040 42944 47392 53680 59240 65164 78080 81455 85888 90341 94784 107360 118480 130328 162910 171776 180682 189568 214720 236960 260656 325820 361364 379136 429440 451705 473920 521312 651640 722728 858880 903410 947840 993751 1042624 1303280 1445456 1806820 1895680 1987502 2085248 2606560 2890912 3613640 3975004 4170496 4968755 5213120 5781824 7227280 7950008 9937510 10426240 11563648 14454560 15900016 19875020 20852480 23127296 28909120 31800032 39750040 57818240 63600064 79500080 115636480 127200128 159000160 254400256 318000320 636000640 1272001280