Search a number
-
+
121072600 = 23521125003
BaseRepresentation
bin1110011011101…
…10101111011000
322102211010101101
413031312233120
5221443310400
620003001144
73000046225
oct715665730
9272733341
10121072600
1162384700
12346691b4
131c1111bc
141211894c
15a96856a
hex7376bd8

121072600 has 72 divisors (see below), whose sum is σ = 309472380. Its totient is φ = 44017600.

The previous prime is 121072561. The next prime is 121072619. The reversal of 121072600 is 6270121.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 21699 + ... + 26701.

Almost surely, 2121072600 is an apocalyptic number.

121072600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154736190).

121072600 is an abundant number, since it is smaller than the sum of its proper divisors (188399780).

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

121072600 is a wasteful number, since it uses less digits than its factorization.

121072600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 121072600 is about 11003.2995051484. The cubic root of 121072600 is about 494.7076462960.

The spelling of 121072600 in words is "one hundred twenty-one million, seventy-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 5003 6050 10006 12100 20012 24200 25015 40024 50030 55033 100060 110066 125075 200120 220132 250150 275165 440264 500300 550330 605363 1000600 1100660 1210726 1375825 2201320 2421452 2751650 3026815 4842904 5503300 6053630 11006600 12107260 15134075 24214520 30268150 60536300 121072600