Search a number
-
+
151150320 = 243351929127
BaseRepresentation
bin10010000001001…
…01111011110000
3101112102020021000
421000211323300
5302143302240
622555402000
73513520326
oct1100457360
9345366230
10151150320
1178358522
1242753300
1325412679
1416107d16
15d40a430
hex9025ef0

151150320 has 320 divisors, whose sum is σ = 571392000. Its totient is φ = 36578304.

The previous prime is 151150309. The next prime is 151150331. The reversal of 151150320 is 23051151.

It is an interprime number because it is at equal distance from previous prime (151150309) and next prime (151150331).

It is a super-2 number, since 2×1511503202 = 45692838472204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151150293 and 151150302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190097 + ... + 1190223.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2151150320 is an apocalyptic number.

151150320 is a gapful number since it is divisible by the number (10) 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 151150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

151150320 is an abundant number, since it is smaller than the sum of its proper divisors (420241680).

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

151150320 is a wasteful number, since it uses less digits than its factorization.

151150320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151150320 is about 12294.3206400354. The cubic root of 151150320 is about 532.6840466766.

The spelling of 151150320 in words is "one hundred fifty-one million, one hundred fifty thousand, three hundred twenty".