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70756140 = 223571312959
BaseRepresentation
bin1000011011110…
…10011100101100
311221010210011210
410031322130230
5121103144030
611004314420
71516263060
oct415723454
9157123153
1070756140
1136a38154
121b842a10
1311874a50
14957baa0
156329bb0
hex437a72c

70756140 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 14927616.

The previous prime is 70756121. The next prime is 70756187. The reversal of 70756140 is 4165707.

It is a happy number.

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 = 70756098 and 70756107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 270756140 is an apocalyptic number.

70756140 is a gapful number since it is divisible by the number (70) 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 70756140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

70756140 is an abundant number, since it is smaller than the sum of its proper divisors (173099220).

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

70756140 is a wasteful number, since it uses less digits than its factorization.

70756140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12991 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 70756140 is about 8411.6668978271. Note that the first 3 decimals coincide. The cubic root of 70756140 is about 413.6071561128.

The spelling of 70756140 in words is "seventy million, seven hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 12959 25918 38877 51836 64795 77754 90713 129590 155508 168467 181426 194385 259180 272139 336934 362852 388770 453565 505401 544278 673868 777540 842335 907130 1010802 1088556 1179269 1360695 1684670 1814260 2021604 2358538 2527005 2721390 3369340 3537807 4717076 5054010 5442780 5896345 7075614 10108020 11792690 14151228 17689035 23585380 35378070 70756140