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1152973764 = 22352940903
BaseRepresentation
bin100010010111000…
…1111101111000100
32222100112010200000
41010232033233010
54330130130024
6310224121300
740400054355
oct10456175704
92870463600
101152973764
11541907288
12282166230
13154b3a7c7
14ad1abd2c
156b34bcc9
hex44b8fbc4

1152973764 has 72 divisors (see below), whose sum is σ = 3126701760. Its totient is φ = 371062944.

The previous prime is 1152973763. The next prime is 1152973799. The reversal of 1152973764 is 4673792511.

It is not an unprimeable number, because it can be changed into a prime (1152973763) 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, 7737 + ... + 48639.

Almost surely, 21152973764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152973764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563350880).

1152973764 is an abundant number, since it is smaller than the sum of its proper divisors (1973727996).

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

1152973764 is a wasteful number, since it uses less digits than its factorization.

1152973764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40951 (or 40937 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 1152973764 is about 33955.4673653596. The cubic root of 1152973764 is about 1048.5918429744.

The spelling of 1152973764 in words is "one billion, one hundred fifty-two million, nine hundred seventy-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 28188 40903 81806 122709 163612 245418 368127 490836 736254 1104381 1186187 1472508 2208762 2372374 3313143 3558561 4417524 4744748 6626286 7117122 9939429 10675683 13252572 14234244 19878858 21351366 32027049 39757716 42702732 64054098 96081147 128108196 192162294 288243441 384324588 576486882 1152973764