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16900146 = 232312977
BaseRepresentation
bin100000001111…
…0000000110010
31011210121122100
41000132000302
513311301041
61402121230
7263435364
oct100360062
934717570
1016900146
1195a336a
1257b0216
1336694b3
14235cd34
15173c6b6
hex101e032

16900146 has 36 divisors (see below), whose sum is σ = 37875006. Its totient is φ = 5446080.

The previous prime is 16900141. The next prime is 16900153. The reversal of 16900146 is 64100961.

It can be written as a sum of positive squares in only one way, i.e., 10595025 + 6305121 = 3255^2 + 2511^2 .

It is a super-2 number, since 2×169001462 = 571229869642632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16900141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16810 + ... + 17786.

Almost surely, 216900146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16900146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18937503).

16900146 is an abundant number, since it is smaller than the sum of its proper divisors (20974860).

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

16900146 is a wasteful number, since it uses less digits than its factorization.

16900146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16900146 is about 4110.9787155859. The cubic root of 16900146 is about 256.6237333784.

The spelling of 16900146 in words is "sixteen million, nine hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 977 1922 1954 2883 2931 5766 5862 8649 8793 17298 17586 30287 60574 90861 181722 272583 545166 938897 1877794 2816691 5633382 8450073 16900146