Search a number
-
+
997350090 = 2351119732179
BaseRepresentation
bin111011011100100…
…101101011001010
32120111200122010020
4323130211223022
54020310200330
6242544401310
733500223132
oct7334455312
92514618106
10997350090
11471a83980
1223a016236
1312b81cca9
149665bac2
155c85b210
hex3b725aca

997350090 has 128 divisors (see below), whose sum is σ = 2787609600. Its totient is φ = 225815040.

The previous prime is 997350089. The next prime is 997350097. The reversal of 997350090 is 90053799.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (997350097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456621 + ... + 458799.

It is an arithmetic number, because the mean of its divisors is an integer number (21778200).

Almost surely, 2997350090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997350090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393804800).

997350090 is an abundant number, since it is smaller than the sum of its proper divisors (1790259510).

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

997350090 is a wasteful number, since it uses less digits than its factorization.

997350090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 76545, while the sum is 42.

The square root of 997350090 is about 31580.8500518906. The cubic root of 997350090 is about 999.1159152912.

The spelling of 997350090 in words is "nine hundred ninety-seven million, three hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 73 95 110 114 146 165 190 209 219 285 330 365 418 438 570 627 730 803 1045 1095 1254 1387 1606 2090 2179 2190 2409 2774 3135 4015 4161 4358 4818 6270 6537 6935 8030 8322 10895 12045 13074 13870 15257 20805 21790 23969 24090 30514 32685 41401 41610 45771 47938 65370 71907 76285 82802 91542 119845 124203 143814 152570 159067 207005 228855 239690 248406 318134 359535 414010 455411 457710 477201 621015 719070 795335 910822 954402 1242030 1366233 1590670 1749737 2277055 2386005 2732466 3022273 3499474 4554110 4772010 5249211 6044546 6831165 8748685 9066819 10498422 13662330 15111365 17497370 18133638 26246055 30222730 33245003 45334095 52492110 66490006 90668190 99735009 166225015 199470018 332450030 498675045 997350090