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4066381960 = 235347379773
BaseRepresentation
bin1111001001100000…
…0001000010001000
3101111101121121101021
43302120001002020
531311443210320
61511300402224
7202524450664
oct36230010210
911441547337
104066381960
1117a7403a53
129559a6374
134ca5c4494
142a80b38a4
1518bed8daa
hexf2601088

4066381960 has 64 divisors (see below), whose sum is σ = 9211838400. Its totient is φ = 1615493376.

The previous prime is 4066381951. The next prime is 4066381961. The reversal of 4066381960 is 691836604.

It is a super-2 number, since 2×40663819602 = 33070924489226883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4066381961) 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, 5260134 + ... + 5260906.

It is an arithmetic number, because the mean of its divisors is an integer number (143934975).

Almost surely, 24066381960 is an apocalyptic number.

4066381960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4066381960 is an abundant number, since it is smaller than the sum of its proper divisors (5145456440).

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

4066381960 is a wasteful number, since it uses less digits than its factorization.

4066381960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 4066381960 is about 63768.1892482451. The cubic root of 4066381960 is about 1596.1341514069.

The spelling of 4066381960 in words is "four billion, sixty-six million, three hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 347 379 694 758 773 1388 1516 1546 1735 1895 2776 3032 3092 3470 3790 3865 6184 6940 7580 7730 13880 15160 15460 30920 131513 263026 268231 292967 526052 536462 585934 657565 1052104 1072924 1171868 1315130 1341155 1464835 2145848 2343736 2630260 2682310 2929670 5260520 5364620 5859340 10729240 11718680 101659549 203319098 406638196 508297745 813276392 1016595490 2033190980 4066381960