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1152485040 = 24357686003
BaseRepresentation
bin100010010110001…
…1000011010110000
32222022121022021010
41010230120122300
54330014010130
6310205430520
740362650460
oct10454303260
92868538233
101152485040
11541603083
12281b6b440
131549c9215
14ad0c1ba0
156b2a20b0
hex44b186b0

1152485040 has 80 divisors (see below), whose sum is σ = 4083095808. Its totient is φ = 263424768.

The previous prime is 1152485021. The next prime is 1152485077. The reversal of 1152485040 is 405842511.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1152484989 and 1152485007.

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, 341322 + ... + 344681.

Almost surely, 21152485040 is an apocalyptic number.

1152485040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152485040 is an abundant number, since it is smaller than the sum of its proper divisors (2930610768).

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

1152485040 is a wasteful number, since it uses less digits than its factorization.

1152485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686026 (or 686020 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 1152485040 is about 33948.2700590177. The cubic root of 1152485040 is about 1048.4436625497.

The spelling of 1152485040 in words is "one billion, one hundred fifty-two million, four hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 686003 1372006 2058009 2744012 3430015 4116018 4802021 5488024 6860030 8232036 9604042 10290045 10976048 13720060 14406063 16464072 19208084 20580090 24010105 27440120 28812126 32928144 38416168 41160180 48020210 54880240 57624252 72030315 76832336 82320360 96040420 115248504 144060630 164640720 192080840 230497008 288121260 384161680 576242520 1152485040