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103001620 = 22529177589
BaseRepresentation
bin1100010001110…
…10111000010100
321011211000122211
412020322320110
5202332022440
614115403204
72360333161
oct610727024
9234730584
10103001620
1153161707
122a5b3504
1318454b07
14d973068
159098eea
hex623ae14

103001620 has 24 divisors (see below), whose sum is σ = 223763400. Its totient is φ = 39779712.

The previous prime is 103001609. The next prime is 103001627. The reversal of 103001620 is 26100301.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 101646724 = 1164^2 + 10082^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103001620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88215 + ... + 89374.

It is an arithmetic number, because the mean of its divisors is an integer number (9323475).

Almost surely, 2103001620 is an apocalyptic number.

103001620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103001620 is an abundant number, since it is smaller than the sum of its proper divisors (120761780).

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

103001620 is a wasteful number, since it uses less digits than its factorization.

103001620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177627 (or 177625 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 103001620 is about 10148.9713764499. The cubic root of 103001620 is about 468.7572723020.

Adding to 103001620 its reverse (26100301), we get a palindrome (129101921).

The spelling of 103001620 in words is "one hundred three million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 177589 355178 710356 887945 1775890 3551780 5150081 10300162 20600324 25750405 51500810 103001620