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1173028896 = 2532131272467
BaseRepresentation
bin100010111101011…
…0000000000100000
310000202021001010200
41011322300000200
54400243411041
6312222025200
741032403214
oct10572600040
93022231120
101173028896
11552164a76
12288a18200
13159040050
14b1b0c944
156ceae1b6
hex45eb0020

1173028896 has 144 divisors (see below), whose sum is σ = 3622155264. Its totient is φ = 357944832.

The previous prime is 1173028891. The next prime is 1173028921. The reversal of 1173028896 is 6988203711.

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

It is not an unprimeable number, because it can be changed into a prime (1173028891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474255 + ... + 476721.

It is an arithmetic number, because the mean of its divisors is an integer number (25153856).

Almost surely, 21173028896 is an apocalyptic number.

1173028896 is a gapful number since it is divisible by the number (16) 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 1173028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811077632).

1173028896 is an abundant number, since it is smaller than the sum of its proper divisors (2449126368).

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

1173028896 is a wasteful number, since it uses less digits than its factorization.

1173028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1173028896 is about 34249.5094271436. The cubic root of 1173028896 is about 1054.6367567185.

The spelling of 1173028896 in words is "one billion, one hundred seventy-three million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1248 1524 1651 1872 2032 2286 2467 3048 3302 3744 4064 4572 4934 4953 6096 6604 7401 9144 9868 9906 12192 13208 14802 14859 18288 19736 19812 22203 26416 29604 29718 32071 36576 39472 39624 44406 52832 59208 59436 64142 78944 79248 88812 96213 118416 118872 128284 158496 177624 192426 236832 237744 256568 288639 313309 355248 384852 475488 513136 577278 626618 710496 769704 939927 1026272 1154556 1253236 1539408 1879854 2309112 2506472 2819781 3078816 3759708 4073017 4618224 5012944 5639562 7519416 8146034 9236448 10025888 11279124 12219051 15038832 16292068 22558248 24438102 30077664 32584136 36657153 45116496 48876204 65168272 73314306 90232992 97752408 130336544 146628612 195504816 293257224 391009632 586514448 1173028896