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102452040 = 23345103307
BaseRepresentation
bin1100001101101…
…00101101001000
321010210002210000
412012310231020
5202211431130
614055523000
72352553665
oct606645510
9233702700
10102452040
1152916809
122a389460
13182c1912
14d86ca6c
158edb260
hex61b4b48

102452040 has 160 divisors (see below), whose sum is σ = 348828480. Its totient is φ = 26967168.

The previous prime is 102452033. The next prime is 102452059. The reversal of 102452040 is 40254201.

102452040 is a `hidden beast` number, since 102 + 4 + 520 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333567 + ... + 333873.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178).

Almost surely, 2102452040 is an apocalyptic number.

102452040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174414240).

102452040 is an abundant number, since it is smaller than the sum of its proper divisors (246376440).

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

102452040 is a wasteful number, since it uses less digits than its factorization.

102452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102452040 is about 10121.8595129551. The cubic root of 102452040 is about 467.9220777564.

The spelling of 102452040 in words is "one hundred two million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 103 108 120 135 162 180 206 216 270 307 309 324 360 405 412 515 540 614 618 648 810 824 921 927 1030 1080 1228 1236 1535 1545 1620 1842 1854 2060 2456 2472 2763 2781 3070 3090 3240 3684 3708 4120 4605 4635 5526 5562 6140 6180 7368 7416 8289 8343 9210 9270 11052 11124 12280 12360 13815 13905 16578 16686 18420 18540 22104 22248 24867 27630 27810 31621 33156 33372 36840 37080 41445 41715 49734 55260 55620 63242 66312 66744 82890 83430 94863 99468 110520 111240 124335 126484 158105 165780 166860 189726 198936 248670 252968 284589 316210 331560 333720 379452 474315 497340 569178 632420 758904 853767 948630 994680 1138356 1264840 1422945 1707534 1897260 2276712 2561301 2845890 3415068 3794520 4268835 5122602 5691780 6830136 8537670 10245204 11383560 12806505 17075340 20490408 25613010 34150680 51226020 102452040