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106028620 = 22523534349
BaseRepresentation
bin1100101000111…
…01111001001100
321101111210220221
412110131321030
5204120403440
614304321124
72425141225
oct624357114
9241453827
10106028620
1154939965
122b6131a4
1318c74839
141012024c
159495d4a
hex651de4c

106028620 has 48 divisors (see below), whose sum is σ = 236779200. Its totient is φ = 39792896.

The previous prime is 106028581. The next prime is 106028623. The reversal of 106028620 is 26820601.

It is a super-2 number, since 2×1060286202 = 22484136518208800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106028623) 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, 22206 + ... + 26554.

It is an arithmetic number, because the mean of its divisors is an integer number (4932900).

Almost surely, 2106028620 is an apocalyptic number.

106028620 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 106028620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118389600).

106028620 is an abundant number, since it is smaller than the sum of its proper divisors (130750580).

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

106028620 is a wasteful number, since it uses less digits than its factorization.

106028620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106028620 is about 10297.0199572498. The cubic root of 106028620 is about 473.3049388949.

The spelling of 106028620 in words is "one hundred six million, twenty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 2438 4349 4876 6095 8698 12190 17396 21745 24380 43490 86980 100027 200054 230497 400108 460994 500135 921988 1000270 1152485 2000540 2304970 4609940 5301431 10602862 21205724 26507155 53014310 106028620