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155406016 = 2619227563
BaseRepresentation
bin10010100001101…
…00111011000000
3101211102102222101
421100310323000
5304240443031
623230520144
73564633523
oct1120647300
9354372871
10155406016
117a7a4927
1244066054
132627272c
14168d4bba
15d99b361
hex9434ec0

155406016 has 56 divisors (see below), whose sum is σ = 326623680. Its totient is φ = 73158912.

The previous prime is 155406001. The next prime is 155406023. The reversal of 155406016 is 610604551.

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, 275751 + ... + 276313.

Almost surely, 2155406016 is an apocalyptic number.

155406016 is a gapful number since it is divisible by the number (16) 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 155406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163311840).

155406016 is an abundant number, since it is smaller than the sum of its proper divisors (171217664).

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

155406016 is a wasteful number, since it uses less digits than its factorization.

155406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 155406016 is about 12466.1949286861. The cubic root of 155406016 is about 537.6371567053.

The spelling of 155406016 in words is "one hundred fifty-five million, four hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 227 304 454 563 608 908 1126 1216 1816 2252 3632 4313 4504 7264 8626 9008 10697 14528 17252 18016 21394 34504 36032 42788 69008 85576 127801 138016 171152 255602 276032 342304 511204 684608 1022408 2044816 2428219 4089632 4856438 8179264 9712876 19425752 38851504 77703008 155406016