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1157387440 = 245111315213
BaseRepresentation
bin100010011111100…
…0101010010110000
32222122211101002111
41010333011102300
54332242344230
6310502455104
740452426256
oct10477052260
92878741074
101157387440
11544351350
12283734494
13155a24751
14ad9da5d6
156b91e92a
hex44fc54b0

1157387440 has 40 divisors (see below), whose sum is σ = 2935557648. Its totient is φ = 420867840.

The previous prime is 1157387437. The next prime is 1157387443. The reversal of 1157387440 is 447837511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1157387437) and next prime (1157387443).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1157387393 and 1157387402.

It is not an unprimeable number, because it can be changed into a prime (1157387443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656727 + ... + 658486.

Almost surely, 21157387440 is an apocalyptic number.

1157387440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157387440 is an abundant number, since it is smaller than the sum of its proper divisors (1778170208).

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

1157387440 is a wasteful number, since it uses less digits than its factorization.

1157387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315237 (or 1315231 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 1157387440 is about 34020.3974109651. The cubic root of 1157387440 is about 1049.9281704453.

The spelling of 1157387440 in words is "one billion, one hundred fifty-seven million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1315213 2630426 5260852 6576065 10521704 13152130 14467343 21043408 26304260 28934686 52608520 57869372 72336715 105217040 115738744 144673430 231477488 289346860 578693720 1157387440