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151993060 = 22529271967
BaseRepresentation
bin10010000111100…
…11101011100100
3101121000001021121
421003303223210
5302402234220
623025423324
73523630312
oct1103635344
9347001247
10151993060
11788836aa
1242a9ab44
132564912b
14162870b2
15d524eaa
hex90f3ae4

151993060 has 48 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 58423680.

The previous prime is 151993033. The next prime is 151993063. The reversal of 151993060 is 60399151.

151993060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151993063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156697 + ... + 157663.

It is an arithmetic number, because the mean of its divisors is an integer number (6911520).

Almost surely, 2151993060 is an apocalyptic number.

151993060 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 151993060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

151993060 is an abundant number, since it is smaller than the sum of its proper divisors (179759900).

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

151993060 is a wasteful number, since it uses less digits than its factorization.

151993060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 151993060 is about 12328.5465485596. The cubic root of 151993060 is about 533.6722073807.

The spelling of 151993060 in words is "one hundred fifty-one million, nine hundred ninety-three thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 271 290 542 580 967 1084 1355 1934 2710 3868 4835 5420 7859 9670 15718 19340 28043 31436 39295 56086 78590 112172 140215 157180 262057 280430 524114 560860 1048228 1310285 2620570 5241140 7599653 15199306 30398612 37998265 75996530 151993060