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972699420 = 22357111731217
BaseRepresentation
bin111001111110100…
…011011100011100
32111210022020202110
4321332203130130
53443002340140
6240304154020
733050544240
oct7176433434
92453266673
10972699420
1145a077520
12231908910
1312669bab4
1493282420
155a5dc380
hex39fa371c

972699420 has 192 divisors, whose sum is σ = 3418039296. Its totient is φ = 200785920.

The previous prime is 972699419. The next prime is 972699437. The reversal of 972699420 is 24996279.

It is a super-2 number, since 2×9726994202 = 1892288323336672800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 972699420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798652 + ... + 799868.

It is an arithmetic number, because the mean of its divisors is an integer number (17802288).

Almost surely, 2972699420 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 972699420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709019648).

972699420 is an abundant number, since it is smaller than the sum of its proper divisors (2445339876).

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

972699420 is a wasteful number, since it uses less digits than its factorization.

972699420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 972699420 is about 31188.1294726054. The cubic root of 972699420 is about 990.8157137884.

The spelling of 972699420 in words is "nine hundred seventy-two million, six hundred ninety-nine thousand, four hundred twenty".