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102621420 = 223251151829
BaseRepresentation
bin1100001110111…
…10000011101100
321011002201010100
412013132003230
5202232341140
614103311100
72354160546
oct607360354
9234081110
10102621420
1152a21aa0
122a44b490
1318350a45
14d8b4696
159021530
hex61de0ec

102621420 has 72 divisors (see below), whose sum is σ = 339590160. Its totient is φ = 24877440.

The previous prime is 102621419. The next prime is 102621427. The reversal of 102621420 is 24126201.

102621420 is a `hidden beast` number, since 1 + 0 + 2 + 621 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102621393 and 102621402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102621427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23935 + ... + 27894.

It is an arithmetic number, because the mean of its divisors is an integer number (4716530).

Almost surely, 2102621420 is an apocalyptic number.

102621420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102621420 is an abundant number, since it is smaller than the sum of its proper divisors (236968740).

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

102621420 is a wasteful number, since it uses less digits than its factorization.

102621420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51855 (or 51850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102621420 is about 10130.2230972472. The cubic root of 102621420 is about 468.1798016120.

Adding to 102621420 its reverse (24126201), we get a palindrome (126747621).

It can be divided in two parts, 102621 and 420, that added together give a square (103041 = 3212).

The spelling of 102621420 in words is "one hundred two million, six hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 51829 103658 155487 207316 259145 310974 466461 518290 570119 621948 777435 932922 1036580 1140238 1554870 1710357 1865844 2280476 2332305 2850595 3109740 3420714 4664610 5131071 5701190 6841428 8551785 9329220 10262142 11402380 17103570 20524284 25655355 34207140 51310710 102621420