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4076750920 = 2351123974153
BaseRepresentation
bin1111001011111110…
…0100100001001000
3101112010010101220211
43302333210201020
531322122012140
61512310530504
7203011545124
oct36277444110
911463111824
104076750920
111802246340
12959366a34
134cc7b4c68
142a9612584
1518cd862ea
hexf2fe4848

4076750920 has 128 divisors (see below), whose sum is σ = 10551824640. Its totient is φ = 1403043840.

The previous prime is 4076750911. The next prime is 4076750959. The reversal of 4076750920 is 290576704.

4076750920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979564 + ... + 983716.

It is an arithmetic number, because the mean of its divisors is an integer number (82436130).

Almost surely, 24076750920 is an apocalyptic number.

4076750920 is a gapful number since it is divisible by the number (40) 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 4076750920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275912320).

4076750920 is an abundant number, since it is smaller than the sum of its proper divisors (6475073720).

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

4076750920 is a wasteful number, since it uses less digits than its factorization.

4076750920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 4076750920 is about 63849.4394650415. The cubic root of 4076750920 is about 1597.4896728458.

The spelling of 4076750920 in words is "four billion, seventy-six million, seven hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 97 110 115 184 194 220 230 253 388 440 460 485 506 776 920 970 1012 1067 1265 1940 2024 2134 2231 2530 3880 4153 4268 4462 5060 5335 8306 8536 8924 10120 10670 11155 16612 17848 20765 21340 22310 24541 33224 41530 42680 44620 45683 49082 83060 89240 91366 95519 98164 122705 166120 182732 191038 196328 228415 245410 365464 382076 402841 456830 477595 490820 764152 805682 913660 955190 981640 1050709 1611364 1827320 1910380 2014205 2101418 3222728 3820760 4028410 4202836 4431251 5253545 8056820 8405672 8862502 9265343 10507090 16113640 17725004 18530686 21014180 22156255 35450008 37061372 42028360 44312510 46326715 74122744 88625020 92653430 101918773 177250040 185306860 203837546 370613720 407675092 509593865 815350184 1019187730 2038375460 4076750920