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20907348 = 223711417
BaseRepresentation
bin100111111000…
…0010101010100
31110100012111020
41033300111110
520323013343
62024041140
7342465240
oct117602524
943305436
1020907348
1110890000
1270031b0
134440417
142ac3420
151c7eb83
hex13f0554

20907348 has 120 divisors (see below), whose sum is σ = 64935360. Its totient is φ = 5111040.

The previous prime is 20907343. The next prime is 20907371. The reversal of 20907348 is 84370902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20907343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1229836 + ... + 1229852.

It is an arithmetic number, because the mean of its divisors is an integer number (541128).

Almost surely, 220907348 is an apocalyptic number.

20907348 is a gapful number since it is divisible by the number (28) 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 20907348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32467680).

20907348 is an abundant number, since it is smaller than the sum of its proper divisors (44028012).

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

20907348 is a wasteful number, since it uses less digits than its factorization.

20907348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20907348 is about 4572.4553579013. The cubic root of 20907348 is about 275.4860736722.

The spelling of 20907348 in words is "twenty million, nine hundred seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 121 132 154 187 204 231 238 242 308 357 363 374 462 476 484 561 714 726 748 847 924 1122 1309 1331 1428 1452 1694 2057 2244 2541 2618 2662 3388 3927 3993 4114 5082 5236 5324 6171 7854 7986 8228 9317 10164 12342 14399 14641 15708 15972 18634 22627 24684 27951 28798 29282 37268 43197 43923 45254 55902 57596 58564 67881 86394 87846 90508 102487 111804 135762 158389 172788 175692 204974 248897 271524 307461 316778 409948 475167 497794 614922 633556 746691 950334 995588 1229844 1493382 1742279 1900668 2986764 3484558 5226837 6969116 10453674 20907348