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16354968 = 2337671453
BaseRepresentation
bin111110011000…
…111010011000
31010202220210120
4332120322120
513141324333
61342313240
7256005060
oct76307230
933686716
1016354968
119260803
125588820
1335082c6
14225a3a0
151680db3
hexf98e98

16354968 has 64 divisors (see below), whose sum is σ = 47458560. Its totient is φ = 4599936.

The previous prime is 16354939. The next prime is 16354973. The reversal of 16354968 is 86945361.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 10530 + ... + 11982.

It is an arithmetic number, because the mean of its divisors is an integer number (741540).

Almost surely, 216354968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16354968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23729280).

16354968 is an abundant number, since it is smaller than the sum of its proper divisors (31103592).

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

16354968 is a wasteful number, since it uses less digits than its factorization.

16354968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 16354968 is about 4044.1275944263. The cubic root of 16354968 is about 253.8340619514.

The spelling of 16354968 in words is "sixteen million, three hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1453 1608 1876 2814 2906 3752 4359 5628 5812 8718 10171 11256 11624 17436 20342 30513 34872 40684 61026 81368 97351 122052 194702 244104 292053 389404 584106 681457 778808 1168212 1362914 2044371 2336424 2725828 4088742 5451656 8177484 16354968