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102034620 = 22335188953
BaseRepresentation
bin1100001010011…
…10110010111100
321002222220012000
412011032302330
5202110101440
614042542300
72346165012
oct605166274
9232886160
10102034620
1152661136
122a207990
13181a691c
14d7a08b2
158e57730
hex614ecbc

102034620 has 48 divisors (see below), whose sum is σ = 317442720. Its totient is φ = 27209088.

The previous prime is 102034619. The next prime is 102034627. The reversal of 102034620 is 26430201.

It is a happy number.

102034620 is a `hidden beast` number, since 1 + 0 + 203 + 462 + 0 = 666.

It is a super-2 number, since 2×1020346202 = 20822127357088800, which contains 22 as substring.

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 = 102034593 and 102034602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102034627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93937 + ... + 95016.

It is an arithmetic number, because the mean of its divisors is an integer number (6613390).

Almost surely, 2102034620 is an apocalyptic number.

102034620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102034620 is an abundant number, since it is smaller than the sum of its proper divisors (215408100).

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

102034620 is a wasteful number, since it uses less digits than its factorization.

102034620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188971 (or 188963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102034620 is about 10101.2187383503. The cubic root of 102034620 is about 467.2857283007.

Adding to 102034620 its reverse (26430201), we get a palindrome (128464821).

The spelling of 102034620 in words is "one hundred two million, thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 188953 377906 566859 755812 944765 1133718 1700577 1889530 2267436 2834295 3401154 3779060 5101731 5668590 6802308 8502885 10203462 11337180 17005770 20406924 25508655 34011540 51017310 102034620