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55707960 = 23357116029
BaseRepresentation
bin1101010010000…
…0100100111000
310212211020221210
43110200210320
5103230123320
65310003120
71244336610
oct324404470
9125736853
1055707960
112949a240
12167a64a0
13b7064b9
147581a40
154d560e0
hex3520938

55707960 has 128 divisors (see below), whose sum is σ = 208396800. Its totient is φ = 11573760.

The previous prime is 55707959. The next prime is 55707991. The reversal of 55707960 is 6970755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6226 + ... + 12254.

It is an arithmetic number, because the mean of its divisors is an integer number (1628100).

Almost surely, 255707960 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 55707960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104198400).

55707960 is an abundant number, since it is smaller than the sum of its proper divisors (152688840).

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

55707960 is a wasteful number, since it uses less digits than its factorization.

55707960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 55707960 is about 7463.7765239857. The cubic root of 55707960 is about 381.9200146853.

It can be divided in two parts, 5570 and 7960, that added together give a triangular number (13530 = T164).

The spelling of 55707960 in words is "fifty-five million, seven hundred seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 6029 9240 12058 18087 24116 30145 36174 42203 48232 60290 66319 72348 84406 90435 120580 126609 132638 144696 168812 180870 198957 211015 241160 253218 265276 331595 337624 361740 397914 422030 464233 506436 530552 633045 663190 723480 795828 844060 928466 994785 1012872 1266090 1326380 1392699 1591656 1688120 1856932 1989570 2321165 2532180 2652760 2785398 3713864 3979140 4642330 5064360 5570796 6963495 7958280 9284660 11141592 13926990 18569320 27853980 55707960