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420066240 = 26351139779
BaseRepresentation
bin11001000010011…
…011001111000000
31002021102120112220
4121002123033000
51330014104430
6105403251040
713260334626
oct3102331700
91067376486
10420066240
111a6130a90
12b8819a80
1369048c09
143db09516
1526d29110
hex1909b3c0

420066240 has 112 divisors (see below), whose sum is σ = 1454993280. Its totient is φ = 101831680.

The previous prime is 420066221. The next prime is 420066293. The reversal of 420066240 is 42660024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420066240.

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, 9330 + ... + 30449.

Almost surely, 2420066240 is an apocalyptic number.

420066240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420066240 is an abundant number, since it is smaller than the sum of its proper divisors (1034927040).

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

420066240 is a wasteful number, since it uses less digits than its factorization.

420066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39810 (or 39800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420066240 is about 20495.5175587249. The cubic root of 420066240 is about 748.9266067243.

The spelling of 420066240 in words is "four hundred twenty million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 39779 79558 119337 159116 198895 238674 318232 397790 437569 477348 596685 636464 795580 875138 954696 1193370 1272928 1312707 1591160 1750276 1909392 2187845 2386740 2545856 2625414 3182320 3500552 3818784 4375690 4773480 5250828 6364640 6563535 7001104 7637568 8751380 9546960 10501656 12729280 13127070 14002208 17502760 19093920 21003312 26254140 28004416 35005520 38187840 42006624 52508280 70011040 84013248 105016560 140022080 210033120 420066240