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3891814020 = 2233543916417
BaseRepresentation
bin1110011111111000…
…0101111010000100
3101001020010122012000
43213332011322010
530432301022040
61442103025300
7165304605363
oct34776057204
911036118160
103891814020
111717911526
1290743b230
134a03a2c43
1428cc317da
1517ba05130
hexe7f85e84

3891814020 has 96 divisors (see below), whose sum is σ = 12136185600. Its totient is φ = 1035389952.

The previous prime is 3891814001. The next prime is 3891814027. The reversal of 3891814020 is 204181983.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3891814027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228852 + ... + 245268.

It is an arithmetic number, because the mean of its divisors is an integer number (126418600).

Almost surely, 23891814020 is an apocalyptic number.

3891814020 is a gapful number since it is divisible by the number (30) 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 3891814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068092800).

3891814020 is an abundant number, since it is smaller than the sum of its proper divisors (8244371580).

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

3891814020 is a wasteful number, since it uses less digits than its factorization.

3891814020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16874 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3891814020 is about 62384.4052628540. The cubic root of 3891814020 is about 1572.9588433883.

It can be divided in two parts, 389 and 1814020, that added together give a square (1814409 = 13472).

The spelling of 3891814020 in words is "three billion, eight hundred ninety-one million, eight hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 439 540 878 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 11853 13170 15804 16417 19755 23706 26340 32834 39510 47412 49251 59265 65668 79020 82085 98502 118530 147753 164170 197004 237060 246255 295506 328340 443259 492510 591012 738765 886518 985020 1477530 1773036 2216295 2955060 4432590 7207063 8865180 14414126 21621189 28828252 36035315 43242378 64863567 72070630 86484756 108105945 129727134 144141260 194590701 216211890 259454268 324317835 389181402 432423780 648635670 778362804 972953505 1297271340 1945907010 3891814020