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972020900 = 225217571777
BaseRepresentation
bin111001111011111…
…101110010100100
32111202000210000002
4321323331302210
53442314132100
6240241440432
733042020114
oct7173756244
92452023002
10972020900
11459753764
12231640118
131264c1cc6
1493147044
155a5062d5
hex39efdca4

972020900 has 36 divisors (see below), whose sum is σ = 2233364868. Its totient is φ = 365936640.

The previous prime is 972020897. The next prime is 972020941. The reversal of 972020900 is 9020279.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28793956 + 943226944 = 5366^2 + 30712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284189 + ... + 287588.

It is an arithmetic number, because the mean of its divisors is an integer number (62037913).

Almost surely, 2972020900 is an apocalyptic number.

It is an amenable number.

972020900 is an abundant number, since it is smaller than the sum of its proper divisors (1261343968).

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

972020900 is a wasteful number, since it uses less digits than its factorization.

972020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571808 (or 571801 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 972020900 is about 31177.2497183443. The cubic root of 972020900 is about 990.5852744405.

The spelling of 972020900 in words is "nine hundred seventy-two million, twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 571777 1143554 2287108 2858885 5717770 9720209 11435540 14294425 19440418 28588850 38880836 48601045 57177700 97202090 194404180 243005225 486010450 972020900