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4074020520 = 2335793131373
BaseRepresentation
bin1111001011010100…
…1001111010101000
3101111220222200111220
43302311021322220
531320422124040
61512132222040
7202646413563
oct36265117250
911456880456
104074020520
111800750a09
1295846a920
134cc06a23b
142a91014da
1518c9e72d0
hexf2d49ea8

4074020520 has 128 divisors (see below), whose sum is σ = 12425356800. Its totient is φ = 1068447744.

The previous prime is 4074020519. The next prime is 4074020549. The reversal of 4074020520 is 250204704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2966554 + ... + 2967926.

It is an arithmetic number, because the mean of its divisors is an integer number (97073100).

Almost surely, 24074020520 is an apocalyptic number.

4074020520 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 4074020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212678400).

4074020520 is an abundant number, since it is smaller than the sum of its proper divisors (8351336280).

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

4074020520 is a wasteful number, since it uses less digits than its factorization.

4074020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4074020520 is about 63828.0543334982. The cubic root of 4074020520 is about 1597.1329541403.

The spelling of 4074020520 in words is "four billion, seventy-four million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 313 316 395 474 626 632 790 939 948 1185 1252 1373 1565 1580 1878 1896 2370 2504 2746 3130 3160 3756 4119 4695 4740 5492 6260 6865 7512 8238 9390 9480 10984 12520 13730 16476 18780 20595 24727 27460 32952 37560 41190 49454 54920 74181 82380 98908 108467 123635 148362 164760 197816 216934 247270 296724 325401 370905 429749 433868 494540 542335 593448 650802 741810 859498 867736 989080 1084670 1289247 1301604 1483620 1627005 1718996 2148745 2169340 2578494 2603208 2967240 3254010 3437992 4297490 4338680 5156988 6446235 6508020 8594980 10313976 12892470 13016040 17189960 25784940 33950171 51569880 67900342 101850513 135800684 169750855 203701026 271601368 339501710 407402052 509252565 679003420 814804104 1018505130 1358006840 2037010260 4074020520