Search a number
-
+
121874640 = 24353116381
BaseRepresentation
bin1110100001110…
…10100011010000
322111022212120120
413100322203100
5222144442030
620032110240
73006626436
oct720724320
9274285516
10121874640
1162882248
1234995380
131c332294
1412286d56
15aa76010
hex743a8d0

121874640 has 80 divisors (see below), whose sum is σ = 390022656. Its totient is φ = 31449600.

The previous prime is 121874603. The next prime is 121874689. The reversal of 121874640 is 46478121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 15630.

Almost surely, 2121874640 is an apocalyptic number.

121874640 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 121874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195011328).

121874640 is an abundant number, since it is smaller than the sum of its proper divisors (268148016).

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

121874640 is a wasteful number, since it uses less digits than its factorization.

121874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16428 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 121874640 is about 11039.6847781085. The cubic root of 121874640 is about 495.7976324993.

The spelling of 121874640 in words is "one hundred twenty-one million, eight hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 16381 32762 49143 65524 81905 98286 131048 163810 196572 245715 262096 327620 393144 491430 507811 655240 786288 982860 1015622 1310480 1523433 1965720 2031244 2539055 3046866 3931440 4062488 5078110 6093732 7617165 8124976 10156220 12187464 15234330 20312440 24374928 30468660 40624880 60937320 121874640