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102157380 = 2232513149293
BaseRepresentation
bin1100001011011…
…00110001000100
321010020010120200
412011230301010
5202123014010
614045330500
72350215633
oct605546104
9233203520
10102157380
1152735396
122a266a30
131821a770
14d7d351a
158e7dcc0
hex616cc44

102157380 has 144 divisors (see below), whose sum is σ = 337100400. Its totient is φ = 24892416.

The previous prime is 102157339. The next prime is 102157387. The reversal of 102157380 is 83751201.

102157380 is a `hidden beast` number, since 10 + 2 + 1 + 573 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4384836 + 97772544 = 2094^2 + 9888^2 .

It is a super-2 number, since 2×1021573802 = 20872260576928800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102157387) by changing a digit.

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, 348514 + ... + 348806.

It is an arithmetic number, because the mean of its divisors is an integer number (2340975).

Almost surely, 2102157380 is an apocalyptic number.

102157380 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 102157380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168550200).

102157380 is an abundant number, since it is smaller than the sum of its proper divisors (234943020).

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

102157380 is a wasteful number, since it uses less digits than its factorization.

102157380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 102157380 is about 10107.2934062488. The cubic root of 102157380 is about 467.4730536291.

The spelling of 102157380 in words is "one hundred two million, one hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 149 156 180 195 234 260 293 298 390 447 468 585 586 596 745 780 879 894 1170 1172 1341 1465 1490 1758 1788 1937 2235 2340 2637 2682 2930 2980 3516 3809 3874 4395 4470 5274 5364 5811 5860 6705 7618 7748 8790 8940 9685 10548 11427 11622 13185 13410 15236 17433 17580 19045 19370 22854 23244 26370 26820 29055 34281 34866 38090 38740 43657 45708 52740 57135 58110 68562 69732 76180 87165 87314 114270 116220 130971 137124 171405 174330 174628 218285 228540 261942 342810 348660 392913 436570 523884 567541 654855 685620 785826 873140 1135082 1309710 1571652 1702623 1964565 2270164 2619420 2837705 3405246 3929130 5107869 5675410 6810492 7858260 8513115 10215738 11350820 17026230 20431476 25539345 34052460 51078690 102157380