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53364780 = 223257411033
BaseRepresentation
bin1100101110010…
…0100000101100
310201102012201100
43023210200230
5102130133110
65143443100
71215410310
oct313444054
9121365640
1053364780
1128139827
1215a56490
13b095ac1
147131b40
154a41bc0
hex32e482c

53364780 has 144 divisors (see below), whose sum is σ = 189693504. Its totient is φ = 11888640.

The previous prime is 53364769. The next prime is 53364793. The reversal of 53364780 is 8746335.

It is a happy number.

53364780 is a `hidden beast` number, since 5 + 3 + 3 + 647 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51144 + ... + 52176.

It is an arithmetic number, because the mean of its divisors is an integer number (1317316).

Almost surely, 253364780 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 53364780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94846752).

53364780 is an abundant number, since it is smaller than the sum of its proper divisors (136328724).

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

53364780 is a wasteful number, since it uses less digits than its factorization.

53364780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 53364780 is about 7305.1201222157. The cubic root of 53364780 is about 376.4883781326.

The spelling of 53364780 in words is "fifty-three million, three hundred sixty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1033 1148 1230 1260 1435 1476 1722 1845 2066 2460 2583 2870 3099 3444 3690 4132 4305 5165 5166 5740 6198 7231 7380 8610 9297 10330 10332 12396 12915 14462 15495 17220 18594 20660 21693 25830 28924 30990 36155 37188 42353 43386 46485 51660 61980 65079 72310 84706 86772 92970 108465 127059 130158 144620 169412 185940 211765 216930 254118 260316 296471 325395 381177 423530 433860 508236 592942 635295 650790 762354 847060 889413 1185884 1270590 1301580 1482355 1524708 1778826 1905885 2541180 2668239 2964710 3557652 3811770 4447065 5336478 5929420 7623540 8894130 10672956 13341195 17788260 26682390 53364780