Search a number
-
+
121187952 = 24327091187
BaseRepresentation
bin1110011100100…
…10111001110000
322110000222121200
413032102321300
5222011003302
620005251200
73001036434
oct716227160
9273028550
10121187952
1162453336
1234703b00
131c151862
14121489c4
15a98c81c
hex7392e70

121187952 has 60 divisors (see below), whose sum is σ = 339922440. Its totient is φ = 40305024.

The previous prime is 121187939. The next prime is 121187953. The reversal of 121187952 is 259781121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121187953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101503 + ... + 102689.

It is an arithmetic number, because the mean of its divisors is an integer number (5665374).

Almost surely, 2121187952 is an apocalyptic number.

121187952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121187952 is an abundant number, since it is smaller than the sum of its proper divisors (218734488).

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

121187952 is a wasteful number, since it uses less digits than its factorization.

121187952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 121187952 is about 11008.5399576874. The cubic root of 121187952 is about 494.8647074393.

The spelling of 121187952 in words is "one hundred twenty-one million, one hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 709 1187 1418 2127 2374 2836 3561 4254 4748 5672 6381 7122 8508 9496 10683 11344 12762 14244 17016 18992 21366 25524 28488 34032 42732 51048 56976 85464 102096 170928 841583 1683166 2524749 3366332 5049498 6732664 7574247 10098996 13465328 15148494 20197992 30296988 40395984 60593976 121187952