Search a number
-
+
997149132 = 223273956941
BaseRepresentation
bin111011011011110…
…100100111001100
32120111022102110100
4323123310213030
54020232233012
6242540211100
733465425220
oct7333644714
92514272410
10997149132
114719569a1
12239b39a90
1312b77c695
1496608780
155c81b8dc
hex3b6f49cc

997149132 has 36 divisors (see below), whose sum is σ = 2880653776. Its totient is φ = 284899680.

The previous prime is 997149073. The next prime is 997149163. The reversal of 997149132 is 231941799.

997149132 is a `hidden beast` number, since 99 + 71 + 491 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×9971491323 (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1978219 + ... + 1978722.

Almost surely, 2997149132 is an apocalyptic number.

It is an amenable number.

997149132 is an abundant number, since it is smaller than the sum of its proper divisors (1883504644).

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

997149132 is a wasteful number, since it uses less digits than its factorization.

997149132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956958 (or 3956953 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 997149132 is about 31577.6682483048. The cubic root of 997149132 is about 999.0488061839.

The spelling of 997149132 in words is "nine hundred ninety-seven million, one hundred forty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3956941 7913882 11870823 15827764 23741646 27698587 35612469 47483292 55397174 71224938 83095761 110794348 142449876 166191522 249287283 332383044 498574566 997149132