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53069040 = 2433579311
BaseRepresentation
bin1100101001110…
…0010011110000
310200212012001000
43022130103300
5102041202130
65133242000
71213036143
oct312342360
9120765030
1053069040
1127a57612
1215933300
13acc12cb
14709605a
1549d4260
hex329c4f0

53069040 has 160 divisors (see below), whose sum is σ = 185702400. Its totient is φ = 13927680.

The previous prime is 53069011. The next prime is 53069057. The reversal of 53069040 is 4096035.

It is a happy number.

53069040 is a `hidden beast` number, since 530 + 6 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53068995 and 53069013.

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, 170485 + ... + 170795.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 253069040 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 53069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

53069040 is an abundant number, since it is smaller than the sum of its proper divisors (132633360).

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

53069040 is a wasteful number, since it uses less digits than its factorization.

53069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53069040 is about 7284.8500327735. The cubic root of 53069040 is about 375.7916077765.

The spelling of 53069040 in words is "fifty-three million, sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 216 237 240 270 311 316 360 395 432 474 540 622 632 711 720 790 933 948 1080 1185 1244 1264 1422 1555 1580 1866 1896 2133 2160 2370 2488 2799 2844 3110 3160 3555 3732 3792 4266 4665 4740 4976 5598 5688 6220 6320 7110 7464 8397 8532 9330 9480 10665 11196 11376 12440 13995 14220 14928 16794 17064 18660 18960 21330 22392 24569 24880 27990 28440 33588 34128 37320 41985 42660 44784 49138 55980 56880 67176 73707 74640 83970 85320 98276 111960 122845 134352 147414 167940 170640 196552 221121 223920 245690 294828 335880 368535 393104 442242 491380 589656 663363 671760 737070 884484 982760 1105605 1179312 1326726 1474140 1768968 1965520 2211210 2653452 2948280 3316815 3537936 4422420 5306904 5896560 6633630 8844840 10613808 13267260 17689680 26534520 53069040