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70137900 = 22345271237
BaseRepresentation
bin1000010111000…
…11100000101100
311212222101010000
410023203200230
5120423403100
610543144300
71511106450
oct413434054
9155871100
1070137900
1136655708
121b5a5090
13116b9521
14945a660
156256900
hex42e382c

70137900 has 180 divisors, whose sum is σ = 260049328. Its totient is φ = 16018560.

The previous prime is 70137799. The next prime is 70137913. The reversal of 70137900 is 973107.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 56082 + ... + 57318.

Almost surely, 270137900 is an apocalyptic number.

70137900 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 70137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130024664).

70137900 is an abundant number, since it is smaller than the sum of its proper divisors (189911428).

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

70137900 is a wasteful number, since it uses less digits than its factorization.

70137900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 70137900 is about 8374.8373118527. The cubic root of 70137900 is about 412.3989835287.

The spelling of 70137900 in words is "seventy million, one hundred thirty-seven thousand, nine hundred".