Search a number
-
+
70623630 = 23357114379
BaseRepresentation
bin1000011010110…
…10000110001110
311220220001102000
410031122012032
5121034424010
611001413130
71515201540
oct415320616
9156801360
1070623630
1136957640
121b79a1a6
131182963c
149545690
1563007c0
hex435a18e

70623630 has 256 divisors, whose sum is σ = 243302400. Its totient is φ = 14152320.

The previous prime is 70623601. The next prime is 70623677. The reversal of 70623630 is 3632607.

70623630 is a `hidden beast` number, since 7 + 0 + 6 + 23 + 630 = 666.

It is a super-2 number, since 2×706236302 = 9975394228753800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 70623594 and 70623603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 893931 + ... + 894009.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 270623630 is an apocalyptic number.

70623630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 70623630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

70623630 is an abundant number, since it is smaller than the sum of its proper divisors (172678770).

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

70623630 is a wasteful number, since it uses less digits than its factorization.

70623630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 70623630 is about 8403.7866465064. The cubic root of 70623630 is about 413.3487976929.

It can be divided in two parts, 706236 and 30, that added together give a triangular number (706266 = T1188).

The spelling of 70623630 in words is "seventy million, six hundred twenty-three thousand, six hundred thirty".