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3970406220 = 22351131194057
BaseRepresentation
bin1110110010100111…
…1001011101001100
3101020201000112102020
43230221321131030
531112410444340
61453551330140
7200250616224
oct35451713514
911221015366
103970406220
111758210a60
12929820950
134b375c5c1
1429944d084
1518387b9d0
hexeca7974c

3970406220 has 96 divisors (see below), whose sum is σ = 12519069696. Its totient is φ = 931468800.

The previous prime is 3970406203. The next prime is 3970406221. The reversal of 3970406220 is 226040793.

It is a super-3 number, since 3×39704062203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3970406221) 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, 76569 + ... + 117488.

It is an arithmetic number, because the mean of its divisors is an integer number (130406976).

Almost surely, 23970406220 is an apocalyptic number.

3970406220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3970406220 is an abundant number, since it is smaller than the sum of its proper divisors (8548663476).

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

3970406220 is a wasteful number, since it uses less digits than its factorization.

3970406220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194111 (or 194109 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3970406220 is about 63011.1594878241. The cubic root of 3970406220 is about 1583.4765912360.

The spelling of 3970406220 in words is "three billion, nine hundred seventy million, four hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 194057 388114 582171 776228 970285 1164342 1940570 2134627 2328684 2910855 3881140 4269254 5821710 6015767 6403881 8538508 10673135 11643420 12031534 12807762 18047301 21346270 24063068 25615524 30078835 32019405 36094602 42692540 60157670 64038810 66173437 72189204 90236505 120315340 128077620 132346874 180473010 198520311 264693748 330867185 360946020 397040622 661734370 794081244 992601555 1323468740 1985203110 3970406220