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54695970 = 23257175107
BaseRepresentation
bin1101000010100…
…1100000100010
310210220211202200
43100221200202
5103000232340
65232154030
71232623320
oct320514042
9123824680
1054695970
112896898a
1216398916
13b4409a4
14739ad10
154c06330
hex3429822

54695970 has 96 divisors (see below), whose sum is σ = 172119168. Its totient is φ = 11764224.

The previous prime is 54695969. The next prime is 54695981. The reversal of 54695970 is 7959645.

It is a happy number.

54695970 is a `hidden beast` number, since 54 + 6 + 9 + 597 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8157 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (1792908).

Almost surely, 254695970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54695970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86059584).

54695970 is an abundant number, since it is smaller than the sum of its proper divisors (117423198).

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

54695970 is a wasteful number, since it uses less digits than its factorization.

54695970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 54695970 is about 7395.6723832252. The cubic root of 54695970 is about 379.5932165937.

The spelling of 54695970 in words is "fifty-four million, six hundred ninety-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5107 5355 10214 10710 15321 25535 30642 35749 45963 51070 71498 76605 86819 91926 107247 153210 173638 178745 214494 229815 260457 321741 357490 434095 459630 520914 536235 607733 643482 781371 868190 1072470 1215466 1302285 1562742 1608705 1823199 2604570 3038665 3217410 3646398 3906855 5469597 6077330 7813710 9115995 10939194 18231990 27347985 54695970