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151370472 = 233114491277
BaseRepresentation
bin10010000010110…
…11101011101000
3101112211102020210
421001123223220
5302222323342
623004221120
73515425221
oct1101335350
9345742223
10151370472
1178498970
124283a7a0
132548b936
1416164248
15d45079c
hex905bae8

151370472 has 64 divisors (see below), whose sum is σ = 414072000. Its totient is φ = 45731840.

The previous prime is 151370467. The next prime is 151370497. The reversal of 151370472 is 274073151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117898 + ... + 119174.

It is an arithmetic number, because the mean of its divisors is an integer number (6469875).

Almost surely, 2151370472 is an apocalyptic number.

151370472 is a gapful number since it is divisible by the number (12) 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 151370472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207036000).

151370472 is an abundant number, since it is smaller than the sum of its proper divisors (262701528).

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

151370472 is a wasteful number, since it uses less digits than its factorization.

151370472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 151370472 is about 12303.2707846328. The cubic root of 151370472 is about 532.9425411533.

The spelling of 151370472 in words is "one hundred fifty-one million, three hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 449 898 1277 1347 1796 2554 2694 3592 3831 4939 5108 5388 7662 9878 10216 10776 14047 14817 15324 19756 28094 29634 30648 39512 42141 56188 59268 84282 112376 118536 168564 337128 573373 1146746 1720119 2293492 3440238 4586984 6307103 6880476 12614206 13760952 18921309 25228412 37842618 50456824 75685236 151370472