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102063720 = 233511167463
BaseRepresentation
bin1100001010101…
…01111001101000
321010001101002210
412011111321220
5202112014340
614043325120
72346345603
oct605257150
9233041083
10102063720
1152680a90
122a2207a0
13181b6c45
14d7ab33a
158e61180
hex6155e68

102063720 has 128 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 24541440.

The previous prime is 102063701. The next prime is 102063721. The reversal of 102063720 is 27360201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102063721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220209 + ... + 220671.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2102063720 is an apocalyptic number.

102063720 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 102063720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

102063720 is an abundant number, since it is smaller than the sum of its proper divisors (234688920).

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

102063720 is a wasteful number, since it uses less digits than its factorization.

102063720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 102063720 is about 10102.6590559120. The cubic root of 102063720 is about 467.3301469571.

The spelling of 102063720 in words is "one hundred two million, sixty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 167 220 264 330 334 440 463 501 660 668 835 926 1002 1320 1336 1389 1670 1837 1852 2004 2315 2505 2778 3340 3674 3704 4008 4630 5010 5093 5511 5556 6680 6945 7348 9185 9260 10020 10186 11022 11112 13890 14696 15279 18370 18520 20040 20372 22044 25465 27555 27780 30558 36740 40744 44088 50930 55110 55560 61116 73480 76395 77321 101860 110220 122232 152790 154642 203720 220440 231963 305580 309284 386605 463926 611160 618568 773210 850531 927852 1159815 1546420 1701062 1855704 2319630 2551593 3092840 3402124 4252655 4639260 5103186 6804248 8505310 9278520 10206372 12757965 17010620 20412744 25515930 34021240 51031860 102063720