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16972900 = 2252724247
BaseRepresentation
bin100000010111…
…1110001100100
31011221022102221
41000233301210
513321113100
61403442124
7264160450
oct100576144
934838387
1016972900
119642a9a
125826344
133693649
14237b660
15175401a
hex102fc64

16972900 has 36 divisors (see below), whose sum is σ = 42094528. Its totient is φ = 5819040.

The previous prime is 16972889. The next prime is 16972931. The reversal of 16972900 is 927961.

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 11 ways as a sum of consecutive naturals, for example, 11424 + ... + 12823.

Almost surely, 216972900 is an apocalyptic number.

16972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16972900 is an abundant number, since it is smaller than the sum of its proper divisors (25121628).

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

16972900 is a wasteful number, since it uses less digits than its factorization.

16972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24268 (or 24261 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 16972900 is about 4119.8179571433. The cubic root of 16972900 is about 256.9914555543.

It can be divided in two parts, 169 and 72900, that multiplied together give a square (12320100 = 35102).

The spelling of 16972900 in words is "sixteen million, nine hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 24247 48494 96988 121235 169729 242470 339458 484940 606175 678916 848645 1212350 1697290 2424700 3394580 4243225 8486450 16972900