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1153133040 = 243531154991
BaseRepresentation
bin100010010111011…
…0110100111110000
32222100211020011010
41010232312213300
54330200224130
6310231350520
740401316623
oct10456664760
92870736133
101153133040
11541a05a14
12282222440
13154b95157
14ad20ddba
156b37e0b0
hex44bb69f0

1153133040 has 80 divisors (see below), whose sum is σ = 3690049536. Its totient is φ = 297580800.

The previous prime is 1153133017. The next prime is 1153133063. The reversal of 1153133040 is 403313511.

1153133040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1153133017) and next prime (1153133063).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1153132998 and 1153133016.

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, 70056 + ... + 84935.

Almost surely, 21153133040 is an apocalyptic number.

1153133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153133040 is an abundant number, since it is smaller than the sum of its proper divisors (2536916496).

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

1153133040 is a wasteful number, since it uses less digits than its factorization.

1153133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155038 (or 155032 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1153133040 is about 33957.8126504049. The cubic root of 1153133040 is about 1048.6401261847.

Adding to 1153133040 its reverse (403313511), we get a palindrome (1556446551).

The spelling of 1153133040 in words is "one billion, one hundred fifty-three million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 154991 309982 464973 619964 774955 929946 1239928 1549910 1859892 2324865 2479856 3099820 3719784 4649730 4804721 6199640 7439568 9299460 9609442 12399280 14414163 18598920 19218884 24023605 28828326 37197840 38437768 48047210 57656652 72070815 76875536 96094420 115313304 144141630 192188840 230626608 288283260 384377680 576566520 1153133040