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670065120 = 253251932411
BaseRepresentation
bin100111111100000…
…110000111100000
31201200211211112200
4213330012013200
52333014040440
6150253453200
722414313424
oct4774060740
91650754480
10670065120
1131426392a
121684a1200
13a8a8ac4a
1464dc4b84
153dc5cc30
hex27f061e0

670065120 has 144 divisors (see below), whose sum is σ = 2299398192. Its totient is φ = 177684480.

The previous prime is 670065119. The next prime is 670065139. The reversal of 670065120 is 21560076.

670065120 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6700651202 = 897974530081228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276715 + ... + 279125.

It is an arithmetic number, because the mean of its divisors is an integer number (15968043).

Almost surely, 2670065120 is an apocalyptic number.

670065120 is a gapful number since it is divisible by the number (60) 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 670065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149699096).

670065120 is an abundant number, since it is smaller than the sum of its proper divisors (1629333072).

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

670065120 is a wasteful number, since it uses less digits than its factorization.

670065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 670065120 is about 25885.6160830682. The cubic root of 670065120 is about 875.0623607256.

The spelling of 670065120 in words is "six hundred seventy million, sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 193 240 288 360 386 480 579 720 772 965 1158 1440 1544 1737 1930 2316 2411 2895 3088 3474 3860 4632 4822 5790 6176 6948 7233 7720 8685 9264 9644 11580 12055 13896 14466 15440 17370 18528 19288 21699 23160 24110 27792 28932 30880 34740 36165 38576 43398 46320 48220 55584 57864 69480 72330 77152 86796 92640 96440 108495 115728 138960 144660 173592 192880 216990 231456 277920 289320 347184 385760 433980 465323 578640 694368 867960 930646 1157280 1395969 1735920 1861292 2326615 2791938 3471840 3722584 4187907 4653230 5583876 6979845 7445168 8375814 9306460 11167752 13959690 14890336 16751628 18612920 20939535 22335504 27919380 33503256 37225840 41879070 44671008 55838760 67006512 74451680 83758140 111677520 134013024 167516280 223355040 335032560 670065120