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100990464 = 293371777
BaseRepresentation
bin1100000010011…
…11111000000000
321001000211212120
412001033320000
5201323143324
614004324240
72334255561
oct601177000
9231024776
10100990464
11520086a3
12299a3680
1317bcc593
14d5ac168
158ced179
hex604fe00

100990464 has 80 divisors (see below), whose sum is σ = 276471888. Its totient is φ = 32735232.

The previous prime is 100990457. The next prime is 100990481. The reversal of 100990464 is 464099001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55944 + ... + 57720.

Almost surely, 2100990464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138235944).

100990464 is an abundant number, since it is smaller than the sum of its proper divisors (175481424).

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

100990464 is an equidigital number, since it uses as much as digits as its factorization.

100990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 100990464 is about 10049.4011761896. The cubic root of 100990464 is about 465.6862938034.

The spelling of 100990464 in words is "one hundred million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 1777 2368 3552 3554 4736 5331 7104 7108 9472 10662 14208 14216 18944 21324 28416 28432 42648 56832 56864 65749 85296 113728 131498 170592 197247 227456 262996 341184 394494 454912 525992 682368 788988 909824 1051984 1364736 1577976 2103968 2729472 3155952 4207936 6311904 8415872 12623808 16831744 25247616 33663488 50495232 100990464