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197082432 = 2632463739
BaseRepresentation
bin10111011111100…
…11110101000000
3111201211211021100
423233303311000
5400423114212
631320054400
74612113231
oct1357636500
9451754240
10197082432
11a127aa48
1256004400
1331aa5331
141c263088
151247ebdc
hexbbf3d40

197082432 has 84 divisors (see below), whose sum is σ = 566887360. Its totient is φ = 65463552.

The previous prime is 197082427. The next prime is 197082433. The reversal of 197082432 is 234280791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197082433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266319 + ... + 267057.

Almost surely, 2197082432 is an apocalyptic number.

197082432 is a gapful number since it is divisible by the number (12) 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 197082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283443680).

197082432 is an abundant number, since it is smaller than the sum of its proper divisors (369804928).

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

197082432 is a wasteful number, since it uses less digits than its factorization.

197082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 197082432 is about 14038.6050589081. The cubic root of 197082432 is about 581.9459332635.

The spelling of 197082432 in words is "one hundred ninety-seven million, eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 463 576 739 926 1389 1478 1852 2217 2778 2956 3704 4167 4434 5556 5912 6651 7408 8334 8868 11112 11824 13302 14816 16668 17736 22224 23648 26604 29632 33336 35472 44448 47296 53208 66672 70944 88896 106416 133344 141888 212832 266688 342157 425664 684314 1026471 1368628 2052942 2737256 3079413 4105884 5474512 6158826 8211768 10949024 12317652 16423536 21898048 24635304 32847072 49270608 65694144 98541216 197082432