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100689240 = 23353127067
BaseRepresentation
bin1100000000001…
…10010101011000
321000110112200010
412000012111120
5201234023430
613554041520
72331562431
oct600062530
9230415603
10100689240
1151922353
12298792a0
1317b25442
14d530488
158c8dcb0
hex6006558

100689240 has 64 divisors (see below), whose sum is σ = 311823360. Its totient is φ = 25983360.

The previous prime is 100689191. The next prime is 100689263. The reversal of 100689240 is 42986001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100689198 and 100689207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9814 + ... + 17253.

It is an arithmetic number, because the mean of its divisors is an integer number (4872240).

Almost surely, 2100689240 is an apocalyptic number.

100689240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100689240 is an abundant number, since it is smaller than the sum of its proper divisors (211134120).

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

100689240 is a wasteful number, since it uses less digits than its factorization.

100689240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27112 (or 27108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 100689240 is about 10034.4028222909. The cubic root of 100689240 is about 465.2228322678. Note that the first 3 decimals are identical.

The spelling of 100689240 in words is "one hundred million, six hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 27067 54134 81201 108268 135335 162402 216536 270670 324804 406005 541340 649608 812010 839077 1082680 1624020 1678154 2517231 3248040 3356308 4195385 5034462 6712616 8390770 10068924 12586155 16781540 20137848 25172310 33563080 50344620 100689240