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3940100172 = 223510937189
BaseRepresentation
bin1110101011011001…
…0010100001001100
3101011120222211100000
43222312102201030
531032131201142
61450550004300
7166432204341
oct35266224114
911146884300
103940100172
1117420a1638
1291b646690
134aa3ab228
142954007c8
15180d9214c
hexead9284c

3940100172 has 72 divisors (see below), whose sum is σ = 10423613200. Its totient is φ = 1301282496.

The previous prime is 3940100147. The next prime is 3940100173. The reversal of 3940100172 is 2710010493.

3940100172 is a `hidden beast` number, since 394 + 0 + 100 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3940100173) 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, 87354 + ... + 124542.

Almost surely, 23940100172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940100172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211806600).

3940100172 is an abundant number, since it is smaller than the sum of its proper divisors (6483513028).

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

3940100172 is a wasteful number, since it uses less digits than its factorization.

3940100172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37317 (or 37303 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3940100172 is about 62770.2172371579. The cubic root of 3940100172 is about 1579.4374128008.

The spelling of 3940100172 in words is "three billion, nine hundred forty million, one hundred thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 972 981 1308 1962 2943 3924 5886 8829 11772 17658 26487 35316 37189 52974 74378 105948 111567 148756 223134 334701 446268 669402 1004103 1338804 2008206 3012309 4016412 4053601 6024618 8107202 9036927 12049236 12160803 16214404 18073854 24321606 36147708 36482409 48643212 72964818 109447227 145929636 218894454 328341681 437788908 656683362 985025043 1313366724 1970050086 3940100172