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121490240 = 2653137331
BaseRepresentation
bin1110011110111…
…00101101000000
322110121100021112
413033130231000
5222100141430
620015542452
73003435644
oct717345500
9273540245
10121490240
116263a463
123482aa28
131c229321
14121c6c24
15a9ec195
hex73dcb40

121490240 has 112 divisors (see below), whose sum is σ = 307628544. Its totient is φ = 45619200.

The previous prime is 121490227. The next prime is 121490273. The reversal of 121490240 is 42094121.

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, 366875 + ... + 367205.

Almost surely, 2121490240 is an apocalyptic number.

121490240 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 121490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153814272).

121490240 is an abundant number, since it is smaller than the sum of its proper divisors (186138304).

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

121490240 is a wasteful number, since it uses less digits than its factorization.

121490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 121490240 is about 11022.2611110425. The cubic root of 121490240 is about 495.2758249174.

The spelling of 121490240 in words is "one hundred twenty-one million, four hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 148 155 160 185 248 296 310 320 331 370 496 592 620 662 740 992 1147 1184 1240 1324 1480 1655 1984 2294 2368 2480 2648 2960 3310 4588 4960 5296 5735 5920 6620 9176 9920 10261 10592 11470 11840 12247 13240 18352 20522 21184 22940 24494 26480 36704 41044 45880 48988 51305 52960 61235 73408 82088 91760 97976 102610 105920 122470 164176 183520 195952 205220 244940 328352 367040 379657 391904 410440 489880 656704 759314 783808 820880 979760 1518628 1641760 1898285 1959520 3037256 3283520 3796570 3919040 6074512 7593140 12149024 15186280 24298048 30372560 60745120 121490240