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1153240032 = 253711315187
BaseRepresentation
bin100010010111101…
…0000101111100000
32222101000122220210
41010233100233200
54330212140112
6310233534120
740402243560
oct10457205740
92871018823
101153240032
11541a7933a
12282274340
13154c01a69
14ad23ada0
156b3a0b3c
hex44bd0be0

1153240032 has 96 divisors (see below), whose sum is σ = 3490566912. Its totient is φ = 326559744.

The previous prime is 1153240027. The next prime is 1153240051. The reversal of 1153240032 is 2300423511.

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

It is a super-2 number, since 2×11532400322 = 2659925142814722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1153239990 and 1153240008.

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, 68343 + ... + 83529.

It is an arithmetic number, because the mean of its divisors is an integer number (36360072).

Almost surely, 21153240032 is an apocalyptic number.

1153240032 is a gapful number since it is divisible by the number (12) 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 1153240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745283456).

1153240032 is an abundant number, since it is smaller than the sum of its proper divisors (2337326880).

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

1153240032 is a wasteful number, since it uses less digits than its factorization.

1153240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15320 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1153240032 is about 33959.3879803509. The cubic root of 1153240032 is about 1048.6725574338.

Adding to 1153240032 its reverse (2300423511), we get a palindrome (3453663543).

The spelling of 1153240032 in words is "one billion, one hundred fifty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4746 5424 6328 9492 10848 12656 15187 18984 25312 30374 37968 45561 60748 75936 91122 106309 121496 182244 212618 242992 318927 364488 425236 485984 637854 728976 850472 1275708 1457952 1700944 1716131 2551416 3401888 3432262 5102832 5148393 6864524 10205664 10296786 12012917 13729048 20593572 24025834 27458096 36038751 41187144 48051668 54916192 72077502 82374288 96103336 144155004 164748576 192206672 288310008 384413344 576620016 1153240032