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100233480 = 23351276577
BaseRepresentation
bin1011111100101…
…11000100001000
320222121101111010
411332113010020
5201124432410
613540203520
72324653614
oct576270410
9228541433
10100233480
1151640996
12296995a0
13179c5b69
14d452344
158bedc20
hex5f97108

100233480 has 64 divisors (see below), whose sum is σ = 303114240. Its totient is φ = 26514432.

The previous prime is 100233467. The next prime is 100233487. The reversal of 100233480 is 84332001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100233487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11952 + ... + 18528.

It is an arithmetic number, because the mean of its divisors is an integer number (4736160).

Almost surely, 2100233480 is an apocalyptic number.

100233480 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 100233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151557120).

100233480 is an abundant number, since it is smaller than the sum of its proper divisors (202880760).

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

100233480 is a wasteful number, since it uses less digits than its factorization.

100233480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100233480 is about 10011.6671938294. The cubic root of 100233480 is about 464.5198419718.

Adding to 100233480 its reverse (84332001), we get a palindrome (184565481).

The spelling of 100233480 in words is "one hundred million, two hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 6577 7620 13154 15240 19731 26308 32885 39462 52616 65770 78924 98655 131540 157848 197310 263080 394620 789240 835279 1670558 2505837 3341116 4176395 5011674 6682232 8352790 10023348 12529185 16705580 20046696 25058370 33411160 50116740 100233480