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307420520 = 235111773563
BaseRepresentation
bin10010010100101…
…101110101101000
3210102110120200012
4102110231311220
51112144424040
650301031052
710422013511
oct2224556550
9712416605
10307420520
11148592650
1286b55488
134b8c8544
142cb85a08
151bec7865
hex1252dd68

307420520 has 128 divisors (see below), whose sum is σ = 811347840. Its totient is φ = 103587840.

The previous prime is 307420493. The next prime is 307420543. The reversal of 307420520 is 25024703.

It is a super-2 number, since 2×3074205202 = 189014752234140800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545759 + ... + 546321.

It is an arithmetic number, because the mean of its divisors is an integer number (6338655).

Almost surely, 2307420520 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 307420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405673920).

307420520 is an abundant number, since it is smaller than the sum of its proper divisors (503927320).

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

307420520 is a wasteful number, since it uses less digits than its factorization.

307420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 307420520 is about 17533.4115334124. The cubic root of 307420520 is about 674.9075465509.

The spelling of 307420520 in words is "three hundred seven million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 73 85 88 110 136 146 170 187 220 292 340 365 374 440 563 584 680 730 748 803 935 1126 1241 1460 1496 1606 1870 2252 2482 2815 2920 3212 3740 4015 4504 4964 5630 6193 6205 6424 7480 8030 9571 9928 11260 12386 12410 13651 16060 19142 22520 24772 24820 27302 30965 32120 38284 41099 47855 49544 49640 54604 61930 68255 76568 82198 95710 105281 109208 123860 136510 164396 191420 205495 210562 247720 273020 328792 382840 410990 421124 452089 526405 546040 698683 821980 842248 904178 1052810 1397366 1643960 1808356 2105620 2260445 2794732 3493415 3616712 4211240 4520890 5589464 6986830 7685513 9041780 13973660 15371026 18083560 27947320 30742052 38427565 61484104 76855130 153710260 307420520