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70609968 = 24351113127
BaseRepresentation
bin1000011010101…
…10110000110000
311220212100200000
410031112300300
5121034004333
611001230000
71515113652
oct415266060
9156770600
1070609968
1136948350
121b792300
1311823360
1495406d2
1562eb713
hex4356c30

70609968 has 240 divisors, whose sum is σ = 242651136. Its totient is φ = 19595520.

The previous prime is 70609967. The next prime is 70609991. The reversal of 70609968 is 86990607.

It is a super-2 number, since 2×706099682 = 9971535161922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70609967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555921 + ... + 556047.

Almost surely, 270609968 is an apocalyptic number.

70609968 is a gapful number since it is divisible by the number (78) 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 70609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325568).

70609968 is an abundant number, since it is smaller than the sum of its proper divisors (172041168).

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

70609968 is a wasteful number, since it uses less digits than its factorization.

70609968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 70609968 is about 8402.9737593307. The cubic root of 70609968 is about 413.3221421412.

The spelling of 70609968 in words is "seventy million, six hundred nine thousand, nine hundred sixty-eight".