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53067960 = 23345111489
BaseRepresentation
bin1100101001110…
…0000010111000
310200212010120000
43022130002320
5102041133320
65133233000
71213033041
oct312340270
9120763500
1053067960
1127a56820
1215932760
13acc097a
1470958c8
1549d3c90
hex329c0b8

53067960 has 160 divisors (see below), whose sum is σ = 194713200. Its totient is φ = 12856320.

The previous prime is 53067947. The next prime is 53067967. The reversal of 53067960 is 6976035.

It is a happy number.

53067960 is a `hidden beast` number, since 530 + 67 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53067967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34896 + ... + 36384.

Almost surely, 253067960 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 53067960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97356600).

53067960 is an abundant number, since it is smaller than the sum of its proper divisors (141645240).

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

53067960 is a wasteful number, since it uses less digits than its factorization.

53067960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 53067960 is about 7284.7759059562. The cubic root of 53067960 is about 375.7890585332.

The spelling of 53067960 in words is "fifty-three million, sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1489 1620 1782 1980 2376 2970 2978 3240 3564 3960 4455 4467 5940 5956 7128 7445 8910 8934 11880 11912 13401 14890 16379 17820 17868 22335 26802 29780 32758 35640 35736 40203 44670 49137 53604 59560 65516 67005 80406 81895 89340 98274 107208 120609 131032 134010 147411 160812 163790 178680 196548 201015 241218 245685 268020 294822 321624 327580 393096 402030 442233 482436 491370 536040 589644 603045 655160 737055 804060 884466 964872 982740 1179288 1206090 1326699 1474110 1608120 1768932 1965480 2211165 2412180 2653398 2948220 3537864 4422330 4824360 5306796 5896440 6633495 8844660 10613592 13266990 17689320 26533980 53067960