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102452480 = 2851347131
BaseRepresentation
bin1100001101101…
…00110100000000
321010210010101022
412012310310000
5202211434410
614055525012
72352555164
oct606646400
9233703338
10102452480
1152917079
122a389768
13182c1b90
14d86cca4
158edb455
hex61b4d00

102452480 has 144 divisors (see below), whose sum is σ = 271966464. Its totient is φ = 36741120.

The previous prime is 102452477. The next prime is 102452491. The reversal of 102452480 is 84254201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782015 + ... + 782145.

It is an arithmetic number, because the mean of its divisors is an integer number (1888656).

Almost surely, 2102452480 is an apocalyptic number.

102452480 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 102452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983232).

102452480 is an abundant number, since it is smaller than the sum of its proper divisors (169513984).

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

102452480 is a wasteful number, since it uses less digits than its factorization.

102452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 102452480 is about 10121.8812480685. The cubic root of 102452480 is about 467.9227476159.

The spelling of 102452480 in words is "one hundred two million, four hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 80 94 104 128 130 131 160 188 208 235 256 260 262 320 376 416 470 520 524 611 640 655 752 832 940 1040 1048 1222 1280 1310 1504 1664 1703 1880 2080 2096 2444 2620 3008 3055 3328 3406 3760 4160 4192 4888 5240 6016 6110 6157 6812 7520 8320 8384 8515 9776 10480 12032 12220 12314 13624 15040 16640 16768 17030 19552 20960 24440 24628 27248 30080 30785 33536 34060 39104 41920 48880 49256 54496 60160 61570 68120 78208 80041 83840 97760 98512 108992 123140 136240 156416 160082 167680 195520 197024 217984 246280 272480 320164 391040 394048 400205 435968 492560 544960 640328 782080 788096 800410 985120 1089920 1280656 1576192 1600820 1970240 2179840 2561312 3201640 3940480 5122624 6403280 7880960 10245248 12806560 20490496 25613120 51226240 102452480