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16972692 = 22311711811
BaseRepresentation
bin100000010111…
…1101110010100
31011221022011020
41000233232110
513321111232
61403441140
7264160032
oct100575624
934838136
1016972692
119642920
1258261b0
133693519
14237b552
151753e2c
hex102fb94

16972692 has 48 divisors (see below), whose sum is σ = 43835904. Its totient is φ = 5068000.

The previous prime is 16972679. The next prime is 16972693. The reversal of 16972692 is 29627961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16972693) 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, 8467 + ... + 10277.

It is an arithmetic number, because the mean of its divisors is an integer number (913248).

Almost surely, 216972692 is an apocalyptic number.

16972692 is a gapful number since it is divisible by the number (12) 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 16972692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917952).

16972692 is an abundant number, since it is smaller than the sum of its proper divisors (26863212).

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

16972692 is a wasteful number, since it uses less digits than its factorization.

16972692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1898 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 16972692 is about 4119.7927132321. The cubic root of 16972692 is about 256.9904057545.

The spelling of 16972692 in words is "sixteen million, nine hundred seventy-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 1811 2343 3124 3622 4686 5433 7244 9372 10866 19921 21732 39842 59763 79684 119526 128581 239052 257162 385743 514324 771486 1414391 1542972 2828782 4243173 5657564 8486346 16972692