Search a number
-
+
70129504 = 253761971
BaseRepresentation
bin1000010111000…
…01011101100000
311212221221121001
410023201131200
5120423121004
610543041344
71511043124
oct413413540
9155857531
1070129504
113664a375
121b5a0254
13116b5763
149457584
1562541a4
hex42e1760

70129504 has 48 divisors (see below), whose sum is σ = 144272016. Its totient is φ = 33523200.

The previous prime is 70129489. The next prime is 70129519. The reversal of 70129504 is 40592107.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70129489) and next prime (70129519).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 71739 + ... + 72709.

It is an arithmetic number, because the mean of its divisors is an integer number (3005667).

Almost surely, 270129504 is an apocalyptic number.

70129504 is a gapful number since it is divisible by the number (74) 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 70129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72136008).

70129504 is an abundant number, since it is smaller than the sum of its proper divisors (74142512).

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

70129504 is a wasteful number, since it uses less digits than its factorization.

70129504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 70129504 is about 8374.3360333820. The cubic root of 70129504 is about 412.3825271856.

The spelling of 70129504 in words is "seventy million, one hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 488 592 971 976 1184 1942 1952 2257 3884 4514 7768 9028 15536 18056 31072 35927 36112 59231 71854 72224 118462 143708 236924 287416 473848 574832 947696 1149664 1895392 2191547 4383094 8766188 17532376 35064752 70129504