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102598020 = 223257107761
BaseRepresentation
bin1100001110110…
…00010110000100
321011001112000200
412013120112010
5202231114040
614103010500
72354032410
oct607302604
9234045020
10102598020
1152a06458
122a439a30
13183431b5
14d8a9d40
159019630
hex61d8584

102598020 has 144 divisors (see below), whose sum is σ = 359468928. Its totient is φ = 23201280.

The previous prime is 102598019. The next prime is 102598049. The reversal of 102598020 is 20895201.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 134440 + ... + 135200.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2102598020 is an apocalyptic number.

102598020 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 102598020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

102598020 is an abundant number, since it is smaller than the sum of its proper divisors (256870908).

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

102598020 is a wasteful number, since it uses less digits than its factorization.

102598020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102598020 is about 10129.0680716441. The cubic root of 102598020 is about 468.1442137196.

The spelling of 102598020 in words is "one hundred two million, five hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 761 963 1070 1260 1284 1498 1522 1605 1926 2140 2247 2283 2996 3044 3210 3745 3805 3852 4494 4566 4815 5327 6420 6741 6849 7490 7610 8988 9132 9630 10654 11235 11415 13482 13698 14980 15220 15981 19260 21308 22470 22830 26635 26964 27396 31962 33705 34245 44940 45660 47943 53270 63924 67410 68490 79905 81427 95886 106540 134820 136980 159810 162854 191772 239715 244281 319620 325708 407135 479430 488562 569989 732843 814270 958860 977124 1139978 1221405 1465686 1628540 1709967 2279956 2442810 2849945 2931372 3419934 3664215 4885620 5129901 5699890 6839868 7328430 8549835 10259802 11399780 14656860 17099670 20519604 25649505 34199340 51299010 102598020