Search a number
-
+
122040093 = 37172389167
BaseRepresentation
bin1110100011000…
…10111100011101
322111122021112110
413101202330131
5222220240333
620035424233
73011216010
oct721427435
9274567473
10122040093
116298558a
1234a55079
131c38c696
14122cb377
15aaaa063
hex7462f1d

122040093 has 64 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 61704192.

The previous prime is 122040053. The next prime is 122040119. The reversal of 122040093 is 390040221.

It is not a de Polignac number, because 122040093 - 26 = 122040029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122040043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730696 + ... + 730862.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2122040093 is an apocalyptic number.

It is an amenable number.

122040093 is a deficient number, since it is larger than the sum of its proper divisors (86978787).

122040093 is a wasteful number, since it uses less digits than its factorization.

122040093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 122040093 is about 11047.1757929346. The cubic root of 122040093 is about 496.0218905640.

The spelling of 122040093 in words is "one hundred twenty-two million, forty thousand, ninety-three".

Divisors: 1 3 7 17 21 23 51 69 89 119 161 167 267 357 391 483 501 623 1169 1173 1513 1869 2047 2737 2839 3507 3841 4539 6141 8211 8517 10591 11523 14329 14863 19873 26887 31773 34799 42987 44589 59619 65297 80661 104041 104397 195891 243593 252671 312123 341849 457079 730779 758013 1025547 1371237 1768697 2392943 5306091 5811433 7178829 17434299 40680031 122040093