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3696420 = 2235713677
BaseRepresentation
bin1110000110011100100100
320221210112110
432012130210
51421241140
6211121020
743263510
oct16063444
96853473
103696420
1120a51a2
1212a3170
139c5640
146c3140
154d0380
hex386724

3696420 has 96 divisors (see below), whose sum is σ = 12757248. Its totient is φ = 778752.

The previous prime is 3696419. The next prime is 3696421. The reversal of 3696420 is 246963.

3696420 = T21 + T22 + ... + T280.

It is an interprime number because it is at equal distance from previous prime (3696419) and next prime (3696421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696421) 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, 5122 + ... + 5798.

It is an arithmetic number, because the mean of its divisors is an integer number (132888).

Almost surely, 23696420 is an apocalyptic number.

3696420 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 3696420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378624).

3696420 is an abundant number, since it is smaller than the sum of its proper divisors (9060828).

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

3696420 is a wasteful number, since it uses less digits than its factorization.

3696420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3696420 is about 1922.6076042708. The cubic root of 3696420 is about 154.6181373543.

The spelling of 3696420 in words is "three million, six hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 677 780 910 1092 1354 1365 1820 2031 2708 2730 3385 4062 4739 5460 6770 8124 8801 9478 10155 13540 14217 17602 18956 20310 23695 26403 28434 35204 40620 44005 47390 52806 56868 61607 71085 88010 94780 105612 123214 132015 142170 176020 184821 246428 264030 284340 308035 369642 528060 616070 739284 924105 1232140 1848210 3696420