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121254640 = 24513313761
BaseRepresentation
bin1110011101000…
…11001011110000
322110011101002121
413032203023300
5222020122030
620010524024
73001435033
oct716431360
9273141077
10121254640
1162499451
1234736614
131c176010
141216501a
15a9a247a
hex73a32f0

121254640 has 80 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 43315200.

The previous prime is 121254629. The next prime is 121254649. The reversal of 121254640 is 46452121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121254649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30360 + ... + 34120.

Almost surely, 2121254640 is an apocalyptic number.

121254640 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 121254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

121254640 is an abundant number, since it is smaller than the sum of its proper divisors (192225296).

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

121254640 is a wasteful number, since it uses less digits than its factorization.

121254640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 121254640 is about 11011.5684623036. The cubic root of 121254640 is about 494.9554631222.

The spelling of 121254640 in words is "one hundred twenty-one million, two hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 3761 4030 6448 7522 8060 15044 16120 18805 30088 32240 37610 48893 60176 75220 97786 116591 150440 195572 233182 244465 300880 391144 466364 488930 582955 782288 932728 977860 1165910 1515683 1865456 1955720 2331820 3031366 3911440 4663640 6062732 7578415 9327280 12125464 15156830 24250928 30313660 60627320 121254640