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13620460 = 2257271359
BaseRepresentation
bin110011111101…
…010011101100
3221121222202111
4303331103230
511441323320
61203533404
7223525540
oct63752354
927558674
1013620460
117763287
12468a264
132a8b759
141b47a20
1512e0a5a
hexcfd4ec

13620460 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4639680.

The previous prime is 13620457. The next prime is 13620461. The reversal of 13620460 is 6402631.

It is a super-2 number, since 2×136204602 = 371033861223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13620461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37761 + ... + 38119.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 213620460 is an apocalyptic number.

13620460 is a gapful number since it is divisible by the number (10) 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 13620460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13620460 is an abundant number, since it is smaller than the sum of its proper divisors (19280660).

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

13620460 is a wasteful number, since it uses less digits than its factorization.

13620460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13620460 is about 3690.5907386217. The cubic root of 13620460 is about 238.8162777535.

The spelling of 13620460 in words is "thirteen million, six hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 271 359 542 718 1084 1355 1436 1795 1897 2513 2710 3590 3794 5026 5420 7180 7588 9485 10052 12565 18970 25130 37940 50260 97289 194578 389156 486445 681023 972890 1362046 1945780 2724092 3405115 6810230 13620460