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16972440 = 2335672111
BaseRepresentation
bin100000010111…
…1101010011000
31011221021210220
41000233222120
513321104230
61403440040
7264156222
oct100575230
934837726
1016972440
119642711
125826020
133693384
14237b412
151753d10
hex102fa98

16972440 has 64 divisors (see below), whose sum is σ = 51701760. Its totient is φ = 4456320.

The previous prime is 16972429. The next prime is 16972463. The reversal of 16972440 is 4427961.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 216972440 is an apocalyptic number.

16972440 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 16972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850880).

16972440 is an abundant number, since it is smaller than the sum of its proper divisors (34729320).

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

16972440 is a wasteful number, since it uses less digits than its factorization.

16972440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 16972440 is about 4119.7621290555. The cubic root of 16972440 is about 256.9891338701.

The spelling of 16972440 in words is "sixteen million, nine hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2111 2680 4020 4222 6333 8040 8444 10555 12666 16888 21110 25332 31665 42220 50664 63330 84440 126660 141437 253320 282874 424311 565748 707185 848622 1131496 1414370 1697244 2121555 2828740 3394488 4243110 5657480 8486220 16972440