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16996920 = 23351391019
BaseRepresentation
bin100000011010…
…1101000111000
31011222112101120
41000311220320
513322400140
61404145240
7264320463
oct100655070
934875346
1016996920
11965a046
125838220
1336a1565
1423862da
15175b1d0
hex1035a38

16996920 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 4495488.

The previous prime is 16996913. The next prime is 16996927. The reversal of 16996920 is 2969961.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16996913) and next prime (16996927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16996927) 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, 16171 + ... + 17189.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 216996920 is an apocalyptic number.

16996920 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 16996920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

16996920 is an abundant number, since it is smaller than the sum of its proper divisors (34411080).

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

16996920 is a wasteful number, since it uses less digits than its factorization.

16996920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 16996920 is about 4122.7321038360. The cubic root of 16996920 is about 257.1126296038.

The spelling of 16996920 in words is "sixteen million, nine hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1019 1112 1390 1668 2038 2085 2780 3057 3336 4076 4170 5095 5560 6114 8152 8340 10190 12228 15285 16680 20380 24456 30570 40760 61140 122280 141641 283282 424923 566564 708205 849846 1133128 1416410 1699692 2124615 2832820 3399384 4249230 5665640 8498460 16996920