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100620 = 223251343
BaseRepresentation
bin11000100100001100
312010000200
4120210030
511204440
62053500
7566232
oct304414
9163020
10100620
1169663
124a290
1336a50
1428952
151ec30
hex1890c

100620 has 72 divisors (see below), whose sum is σ = 336336. Its totient is φ = 24192.

The previous prime is 100613. The next prime is 100621. The reversal of 100620 is 26001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100621) 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, 2319 + ... + 2361.

2100620 is an apocalyptic number.

100620 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 100620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168).

100620 is an abundant number, since it is smaller than the sum of its proper divisors (235716).

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

100620 is a wasteful number, since it uses less digits than its factorization.

100620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100620 is about 317.2065573093. The cubic root of 100620 is about 46.5116169380.

100620 divided by its product of nonzero digits (12) gives a triangular number (8385 = T129).

Adding to 100620 its reverse (26001), we get a palindrome (126621).

The spelling of 100620 in words is "one hundred thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5590 6708 7740 8385 10062 11180 16770 20124 25155 33540 50310 100620