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121907040 = 25351913367
BaseRepresentation
bin1110100010000…
…10011101100000
322111101112000120
413101002131200
5222202011130
620032520240
73010123053
oct721023540
9274345016
10121907040
11628a4622
12349b0080
131c343c58
1412294a9a
15aa80910
hex7442760

121907040 has 96 divisors (see below), whose sum is σ = 404248320. Its totient is φ = 30795264.

The previous prime is 121907011. The next prime is 121907041. The reversal of 121907040 is 40709121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1219070402 = 29722652803123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121907040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121907041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2437 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (4210920).

Almost surely, 2121907040 is an apocalyptic number.

121907040 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 121907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202124160).

121907040 is an abundant number, since it is smaller than the sum of its proper divisors (282341280).

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

121907040 is a wasteful number, since it uses less digits than its factorization.

121907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 121907040 is about 11041.1521137968. The cubic root of 121907040 is about 495.8415640341.

The spelling of 121907040 in words is "one hundred twenty-one million, nine hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 13367 26734 40101 53468 66835 80202 106936 133670 160404 200505 213872 253973 267340 320808 401010 427744 507946 534680 641616 761919 802020 1015892 1069360 1269865 1283232 1523838 1604040 2031784 2138720 2539730 3047676 3208080 3809595 4063568 5079460 6095352 6416160 7619190 8127136 10158920 12190704 15238380 20317840 24381408 30476760 40635680 60953520 121907040