Search a number
-
+
121893390 = 23354310499
BaseRepresentation
bin1110100001111…
…11001000001110
322111100211022000
413100333020032
5222201042030
620032333130
73010035213
oct720771016
9274324260
10121893390
1162895343
12349a41a6
131c33a988
141228db0a
15aa7b860
hex743f20e

121893390 has 64 divisors (see below), whose sum is σ = 332640000. Its totient is φ = 31745952.

The previous prime is 121893389. The next prime is 121893413. The reversal of 121893390 is 93398121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6361 + ... + 16859.

It is an arithmetic number, because the mean of its divisors is an integer number (5197500).

Almost surely, 2121893390 is an apocalyptic number.

121893390 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 121893390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320000).

121893390 is an abundant number, since it is smaller than the sum of its proper divisors (210746610).

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

121893390 is a wasteful number, since it uses less digits than its factorization.

121893390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10558 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 121893390 is about 11040.5339544788. The cubic root of 121893390 is about 495.8230567902.

The spelling of 121893390 in words is "one hundred twenty-one million, eight hundred ninety-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 10499 11610 20998 31497 52495 62994 94491 104990 157485 188982 283473 314970 451457 472455 566946 902914 944910 1354371 1417365 2257285 2708742 2834730 4063113 4514570 6771855 8126226 12189339 13543710 20315565 24378678 40631130 60946695 121893390