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102620672 = 2971119137
BaseRepresentation
bin1100001110111…
…01111000000000
321011002200002122
412013131320000
5202232330142
614103303412
72354155430
oct607357000
9234080078
10102620672
1152a21480
122a44ab68
13183505bb
14d8b42c0
1590211d2
hex61dde00

102620672 has 160 divisors (see below), whose sum is σ = 271054080. Its totient is φ = 37601280.

The previous prime is 102620629. The next prime is 102620711. The reversal of 102620672 is 276026201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748988 + ... + 749124.

It is an arithmetic number, because the mean of its divisors is an integer number (1694088).

Almost surely, 2102620672 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 102620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135527040).

102620672 is an abundant number, since it is smaller than the sum of its proper divisors (168433408).

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

102620672 is a wasteful number, since it uses less digits than its factorization.

102620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 102620672 is about 10130.1861779535. The cubic root of 102620672 is about 468.1786640998.

Adding to 102620672 its reverse (276026201), we get a palindrome (378646873).

The spelling of 102620672 in words is "one hundred two million, six hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 137 152 154 176 209 224 256 266 274 304 308 352 418 448 512 532 548 608 616 704 836 896 959 1064 1096 1216 1232 1408 1463 1507 1672 1792 1918 2128 2192 2432 2464 2603 2816 2926 3014 3344 3584 3836 4256 4384 4864 4928 5206 5632 5852 6028 6688 7672 8512 8768 9728 9856 10412 10549 11704 12056 13376 15344 17024 17536 18221 19712 20824 21098 23408 24112 26752 28633 30688 34048 35072 36442 39424 41648 42196 46816 48224 53504 57266 61376 68096 70144 72884 83296 84392 93632 96448 107008 114532 122752 145768 166592 168784 187264 192896 200431 229064 245504 291536 333184 337568 374528 385792 400862 458128 491008 583072 666368 675136 749056 771584 801724 916256 1166144 1332736 1350272 1603448 1832512 2332288 2700544 3206896 3665024 4664576 5401088 6413792 7330048 9329152 12827584 14660096 25655168 51310336 102620672