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117583290 = 232511731627
BaseRepresentation
bin1110000001000…
…10110110111010
322012020211221200
413000202312322
5220100131130
615400115030
72625304266
oct700426672
9265224850
10117583290
1160411080
1233465a76
131b48bc16
141188b0a6
15a4c9760
hex7022dba

117583290 has 96 divisors (see below), whose sum is σ = 338285376. Its totient is φ = 28097280.

The previous prime is 117583289. The next prime is 117583321. The reversal of 117583290 is 92385711.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 71457 + ... + 73083.

It is an arithmetic number, because the mean of its divisors is an integer number (3523806).

Almost surely, 2117583290 is an apocalyptic number.

117583290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117583290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169142688).

117583290 is an abundant number, since it is smaller than the sum of its proper divisors (220702086).

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

117583290 is a wasteful number, since it uses less digits than its factorization.

117583290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 117583290 is about 10843.5828949660. The cubic root of 117583290 is about 489.9087571326.

The spelling of 117583290 in words is "one hundred seventeen million, five hundred eighty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 90 99 110 146 165 198 219 330 365 438 495 657 730 803 990 1095 1314 1606 1627 2190 2409 3254 3285 4015 4818 4881 6570 7227 8030 8135 9762 12045 14454 14643 16270 17897 24090 24405 29286 35794 36135 48810 53691 72270 73215 89485 107382 118771 146430 161073 178970 237542 268455 322146 356313 536910 593855 712626 805365 1068939 1187710 1306481 1610730 1781565 2137878 2612962 3563130 3919443 5344695 6532405 7838886 10689390 11758329 13064810 19597215 23516658 39194430 58791645 117583290