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83668356 = 223317199229
BaseRepresentation
bin1001111110010…
…10110110000100
312211102210102000
410333022312010
5132404341411
612145145300
72034112032
oct477126604
9184383360
1083668356
1143257302
122402b230
1314446005
14b17d552
15752a956
hex4fcad84

83668356 has 96 divisors (see below), whose sum is σ = 231840000. Its totient is φ = 26002944.

The previous prime is 83668337. The next prime is 83668357. The reversal of 83668356 is 65386638.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83668357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365250 + ... + 365478.

It is an arithmetic number, because the mean of its divisors is an integer number (2415000).

Almost surely, 283668356 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 83668356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920000).

83668356 is an abundant number, since it is smaller than the sum of its proper divisors (148171644).

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

83668356 is a wasteful number, since it uses less digits than its factorization.

83668356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 83668356 is about 9147.0408329689. The cubic root of 83668356 is about 437.3747882224.

The spelling of 83668356 in words is "eighty-three million, six hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 199 204 229 306 398 458 459 597 612 687 796 916 918 1194 1374 1791 1836 2061 2388 2748 3383 3582 3893 4122 5373 6183 6766 7164 7786 8244 10149 10746 11679 12366 13532 15572 20298 21492 23358 24732 30447 35037 40596 45571 46716 60894 70074 91142 91341 105111 121788 136713 140148 182284 182682 210222 273426 365364 410139 420444 546852 774707 820278 1230417 1549414 1640556 2324121 2460834 3098828 4648242 4921668 6972363 9296484 13944726 20917089 27889452 41834178 83668356