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121646640 = 2435506861
BaseRepresentation
bin1110100000000…
…10111000110000
322110220021211010
413100002320300
5222120143030
620023150520
73004656633
oct720027060
9273807733
10121646640
1162736a15
12348a5440
131c28257b
1412227c1a
15aa2d6b0
hex7402e30

121646640 has 40 divisors (see below), whose sum is σ = 377105328. Its totient is φ = 32439040.

The previous prime is 121646621. The next prime is 121646663. The reversal of 121646640 is 46646121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121646598 and 121646607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253191 + ... + 253670.

Almost surely, 2121646640 is an apocalyptic number.

121646640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121646640 is an abundant number, since it is smaller than the sum of its proper divisors (255458688).

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

121646640 is a wasteful number, since it uses less digits than its factorization.

121646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506877 (or 506871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 121646640 is about 11029.3535621994. The cubic root of 121646640 is about 495.4882642678.

The spelling of 121646640 in words is "one hundred twenty-one million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 506861 1013722 1520583 2027444 2534305 3041166 4054888 5068610 6082332 7602915 8109776 10137220 12164664 15205830 20274440 24329328 30411660 40548880 60823320 121646640