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102123420 = 223571714303
BaseRepresentation
bin1100001011001…
…00011110011100
321010011101222220
412011210132130
5202120422140
614044505340
72350014630
oct605443634
9233141886
10102123420
1152711923
122a24b250
1318208179
14d7c4dc0
158e73bd0
hex616479c

102123420 has 96 divisors (see below), whose sum is σ = 346042368. Its totient is φ = 21967872.

The previous prime is 102123407. The next prime is 102123451. The reversal of 102123420 is 24321201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102123420.

It is a congruent number.

It is an unprimeable number.

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, 12 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (3604608).

Almost surely, 2102123420 is an apocalyptic number.

102123420 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 102123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173021184).

102123420 is an abundant number, since it is smaller than the sum of its proper divisors (243918948).

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

102123420 is a wasteful number, since it uses less digits than its factorization.

102123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102123420 is about 10105.6132916315. The cubic root of 102123420 is about 467.4212474702.

Adding to 102123420 its reverse (24321201), we get a palindrome (126444621).

The spelling of 102123420 in words is "one hundred two million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 14303 28606 42909 57212 71515 85818 100121 143030 171636 200242 214545 243151 286060 300363 400484 429090 486302 500605 600726 729453 858180 972604 1001210 1201452 1215755 1458906 1501815 1702057 2002420 2431510 2917812 3003630 3404114 3647265 4863020 5106171 6007260 6808228 7294530 8510285 10212342 14589060 17020570 20424684 25530855 34041140 51061710 102123420