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4013850720 = 253511269109
BaseRepresentation
bin1110111100111110…
…1000000001100000
3101100201202202001210
43233033220001200
531210021210340
61502142430120
7201316111455
oct35717500140
911321682053
104013850720
11177a794500
12940292340
134bc760bc9
142a111b82c
151875ae180
hexef3e8060

4013850720 has 144 divisors (see below), whose sum is σ = 13897744560. Its totient is φ = 973040640.

The previous prime is 4013850689. The next prime is 4013850721. The reversal of 4013850720 is 270583104.

It is a super-2 number, since 2×40138507202 = 32221995204889036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013850721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23526 + ... + 92634.

It is an arithmetic number, because the mean of its divisors is an integer number (96512115).

Almost surely, 24013850720 is an apocalyptic number.

4013850720 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 4013850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948872280).

4013850720 is an abundant number, since it is smaller than the sum of its proper divisors (9883893840).

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

4013850720 is a wasteful number, since it uses less digits than its factorization.

4013850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69149 (or 69130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4013850720 is about 63354.9581327302. The cubic root of 4013850720 is about 1589.2311618541.

The spelling of 4013850720 in words is "four billion, thirteen million, eight hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 69109 138218 207327 276436 345545 414654 552872 691090 760199 829308 1036635 1105744 1382180 1520398 1658616 2073270 2211488 2280597 2764360 3040796 3317232 3800995 4146540 4561194 5528720 6081592 6634464 7601990 8293080 8362189 9122388 11057440 11402985 12163184 15203980 16586160 16724378 18244776 22805970 24326368 25086567 30407960 33172320 33448756 36489552 41810945 45611940 50173134 60815920 66897512 72979104 83621890 91223880 100346268 121631840 125432835 133795024 167243780 182447760 200692536 250865670 267590048 334487560 364895520 401385072 501731340 668975120 802770144 1003462680 1337950240 2006925360 4013850720