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53994960 = 24325193947
BaseRepresentation
bin1100110111111…
…0010111010000
310202121020011100
43031332113100
5102310314320
65205144400
71223643465
oct315762720
9122536140
1053994960
112852a238
12160bb100
13b2568a6
14725766c
154b18790
hex337e5d0

53994960 has 120 divisors (see below), whose sum is σ = 190925280. Its totient is φ = 13637376.

The previous prime is 53994949. The next prime is 53994973. The reversal of 53994960 is 6949935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11707 + ... + 15653.

It is an arithmetic number, because the mean of its divisors is an integer number (1591044).

Almost surely, 253994960 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 53994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95462640).

53994960 is an abundant number, since it is smaller than the sum of its proper divisors (136930320).

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

53994960 is a wasteful number, since it uses less digits than its factorization.

53994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 53994960 is about 7348.1262917835. The cubic root of 53994960 is about 377.9645553395.

The spelling of 53994960 in words is "fifty-three million, nine hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 3947 4560 6840 7894 11841 13680 15788 19735 23682 31576 35523 39470 47364 59205 63152 71046 74993 78940 94728 118410 142092 149986 157880 177615 189456 224979 236820 284184 299972 315760 355230 374965 449958 473640 568368 599944 674937 710460 749930 899916 947280 1124895 1199888 1349874 1420920 1499860 1799832 2249790 2699748 2841840 2999720 3374685 3599664 4499580 5399496 5999440 6749370 8999160 10798992 13498740 17998320 26997480 53994960