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3985670700 = 22325211402593
BaseRepresentation
bin1110110110010000…
…1000001000101100
3101021202202001100100
43231210020020230
531130312430300
61455254431100
7200524433124
oct35544101054
911252661310
103985670700
111765897430
12932962490
134b697543b
1429b4a3c84
15184d94700
hexed90822c

3985670700 has 108 divisors (see below), whose sum is σ = 13628612088. Its totient is φ = 966220800.

The previous prime is 3985670693. The next prime is 3985670701. The reversal of 3985670700 is 70765893.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3985670701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191397 + ... + 211196.

Almost surely, 23985670700 is an apocalyptic number.

3985670700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3985670700 is an abundant number, since it is smaller than the sum of its proper divisors (9642941388).

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

3985670700 is a wasteful number, since it uses less digits than its factorization.

3985670700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402624 (or 402614 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3985670700 is about 63132.1685038618. The cubic root of 3985670700 is about 1585.5032551614.

The spelling of 3985670700 in words is "three billion, nine hundred eighty-five million, six hundred seventy thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 402593 805186 1207779 1610372 2012965 2415558 3623337 4025930 4428523 4831116 6038895 7246674 8051860 8857046 10064825 12077790 13285569 14493348 17714092 18116685 20129650 22142615 24155580 26571138 30194475 36233370 39856707 40259300 44285230 53142276 60388950 66427845 72466740 79713414 88570460 90583425 110713075 120777900 132855690 159426828 181166850 199283535 221426150 265711380 332139225 362333700 398567070 442852300 664278450 797134140 996417675 1328556900 1992835350 3985670700