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10241502640 = 245438113671
BaseRepresentation
bin10011000100111000…
…01110110110110000
3222102202012020110121
421202130032312300
5131433311041030
64412130540024
7511536223165
oct114234166660
928382166417
1010241502640
114386074576
121b99a37614
13c72a46245
146d226a06c
153ee1b447a
hex26270edb0

10241502640 has 80 divisors (see below), whose sum is σ = 24401938176. Its totient is φ = 3995308800.

The previous prime is 10241502637. The next prime is 10241502641. The reversal of 10241502640 is 4620514201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10241502641) 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, 2788005 + ... + 2791675.

Almost surely, 210241502640 is an apocalyptic number.

10241502640 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 10241502640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200969088).

10241502640 is an abundant number, since it is smaller than the sum of its proper divisors (14160435536).

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

10241502640 is a wasteful number, since it uses less digits than its factorization.

10241502640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4532 counting only the distinct ones).

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

The spelling of 10241502640 in words is "ten billion, two hundred forty-one million, five hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 811 860 1622 1720 3244 3440 3671 4055 6488 7342 8110 12976 14684 16220 18355 29368 32440 34873 36710 58736 64880 69746 73420 139492 146840 157853 174365 278984 293680 315706 348730 557968 631412 697460 789265 1262824 1394920 1578530 2525648 2789840 2977181 3157060 5954362 6314120 11908724 12628240 14885905 23817448 29771810 47634896 59543620 119087240 128018783 238174480 256037566 512075132 640093915 1024150264 1280187830 2048300528 2560375660 5120751320 10241502640