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1082078640 = 243251502887
BaseRepresentation
bin100000001111111…
…0011010110110000
32210102010021211200
41000133303112300
54204003004030
6255212411200
735546342136
oct10037632660
92712107750
101082078640
11505894775
12262476b00
13143247726
14a39d5756
1564ee5d60
hex407f35b0

1082078640 has 60 divisors (see below), whose sum is σ = 3633983184. Its totient is φ = 288554112.

The previous prime is 1082078629. The next prime is 1082078651. The reversal of 1082078640 is 468702801.

1082078640 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 0 + 7 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1082078629) and next prime (1082078651).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1082078595 and 1082078604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750724 + ... + 752163.

Almost surely, 21082078640 is an apocalyptic number.

1082078640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082078640 is an abundant number, since it is smaller than the sum of its proper divisors (2551904544).

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

1082078640 is a wasteful number, since it uses less digits than its factorization.

1082078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502906 (or 1502897 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1082078640 is about 32894.9637482700. The cubic root of 1082078640 is about 1026.6433729090.

The spelling of 1082078640 in words is "one billion, eighty-two million, seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1502887 3005774 4508661 6011548 7514435 9017322 12023096 13525983 15028870 18034644 22543305 24046192 27051966 30057740 36069288 45086610 54103932 60115480 67629915 72138576 90173220 108207864 120230960 135259830 180346440 216415728 270519660 360692880 541039320 1082078640