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55357680 = 2435783397
BaseRepresentation
bin1101001100101…
…1000011110000
310212011110110110
43103023003300
5103132421210
65254301320
71241350440
oct323130360
9125143413
1055357680
1129280054
1216657840
13b612c31
1474d0120
154cd7420
hex34cb0f0

55357680 has 160 divisors (see below), whose sum is σ = 198987264. Its totient is φ = 12469248.

The previous prime is 55357663. The next prime is 55357691. The reversal of 55357680 is 8675355.

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, 139242 + ... + 139638.

Almost surely, 255357680 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 55357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99493632).

55357680 is an abundant number, since it is smaller than the sum of its proper divisors (143629584).

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

55357680 is a wasteful number, since it uses less digits than its factorization.

55357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 55357680 is about 7440.2741884960. The cubic root of 55357680 is about 381.1178533324.

The spelling of 55357680 in words is "fifty-five million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 397 415 420 498 560 581 664 794 830 840 996 1162 1191 1245 1328 1588 1660 1680 1743 1985 1992 2324 2382 2490 2779 2905 3176 3320 3486 3970 3984 4648 4764 4980 5558 5810 5955 6352 6640 6972 7940 8337 8715 9296 9528 9960 11116 11620 11910 13895 13944 15880 16674 17430 19056 19920 22232 23240 23820 27790 27888 31760 32951 33348 34860 41685 44464 46480 47640 55580 65902 66696 69720 83370 95280 98853 111160 131804 133392 139440 164755 166740 197706 222320 230657 263608 329510 333480 395412 461314 494265 527216 659020 666960 691971 790824 922628 988530 1153285 1318040 1383942 1581648 1845256 1977060 2306570 2636080 2767884 3459855 3690512 3954120 4613140 5535768 6919710 7908240 9226280 11071536 13839420 18452560 27678840 55357680