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3996101790 = 23455239433
BaseRepresentation
bin1110111000101111…
…1010110010011110
3101022111101000010000
43232023322302132
531141000224130
61500310155130
7201012206352
oct35613726236
911274330100
103996101790
11177077146a
12936352aa6
134b8b88295
1429ca1b462
15185c55260
hexee2fac9e

3996101790 has 80 divisors (see below), whose sum is σ = 10766760048. Its totient is φ = 1063476864.

The previous prime is 3996101771. The next prime is 3996101803. The reversal of 3996101790 is 971016993.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418914 + ... + 428346.

Almost surely, 23996101790 is an apocalyptic number.

3996101790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996101790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383380024).

3996101790 is an abundant number, since it is smaller than the sum of its proper divisors (6770658258).

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

3996101790 is a wasteful number, since it uses less digits than its factorization.

3996101790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 3996101790 is about 63214.7276352592. The cubic root of 3996101790 is about 1586.8852158075.

The spelling of 3996101790 in words is "three billion, nine hundred ninety-six million, one hundred one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 523 810 1046 1569 2615 3138 4707 5230 7845 9414 9433 14121 15690 18866 23535 28242 28299 42363 47070 47165 56598 70605 84726 84897 94330 141210 141495 169794 211815 254691 282990 423630 424485 509382 764073 848970 1273455 1528146 2546910 3820365 4933459 7640730 9866918 14800377 24667295 29600754 44401131 49334590 74001885 88802262 133203393 148003770 222005655 266406786 399610179 444011310 666016965 799220358 1332033930 1998050895 3996101790