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70684200 = 233252107367
BaseRepresentation
bin1000011011010…
…00111000101000
311221000010111100
410031220320220
5121043343300
611003001400
71515543246
oct415507050
9157003440
1070684200
11369990a4
121b809260
131184b092
14955d796
156313700
hex4368e28

70684200 has 144 divisors (see below), whose sum is σ = 240252480. Its totient is φ = 18622080.

The previous prime is 70684189. The next prime is 70684213. The reversal of 70684200 is 248607.

It is a super-2 number, since 2×706842002 = 9992512259280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192417 + ... + 192783.

It is an arithmetic number, because the mean of its divisors is an integer number (1668420).

Almost surely, 270684200 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 70684200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120126240).

70684200 is an abundant number, since it is smaller than the sum of its proper divisors (169568280).

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

70684200 is a wasteful number, since it uses less digits than its factorization.

70684200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 70684200 is about 8407.3896067686. The cubic root of 70684200 is about 413.4669327637.

The spelling of 70684200 in words is "seventy million, six hundred eighty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 367 428 450 535 600 642 734 856 900 963 1070 1101 1284 1468 1605 1800 1835 1926 2140 2202 2568 2675 2936 3210 3303 3670 3852 4280 4404 4815 5350 5505 6420 6606 7340 7704 8025 8808 9175 9630 10700 11010 12840 13212 14680 16050 16515 18350 19260 21400 22020 24075 26424 27525 32100 33030 36700 38520 39269 44040 48150 55050 64200 66060 73400 78538 82575 96300 110100 117807 132120 157076 165150 192600 196345 220200 235614 314152 330300 353421 392690 471228 589035 660600 706842 785380 942456 981725 1178070 1413684 1570760 1767105 1963450 2356140 2827368 2945175 3534210 3926900 4712280 5890350 7068420 7853800 8835525 11780700 14136840 17671050 23561400 35342100 70684200