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86925420 = 22335172557
BaseRepresentation
bin1010010111001…
…10000001101100
320001120021021000
411023212001230
5134223103140
612343040300
72103565611
oct513460154
9201507230
1086925420
114508139a
1225140090
131501667a
14b78a508
157970a30
hex52e606c

86925420 has 144 divisors (see below), whose sum is σ = 287794080. Its totient is φ = 21777408.

The previous prime is 86925343. The next prime is 86925473. The reversal of 86925420 is 2452968.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155782 + ... + 156338.

It is an arithmetic number, because the mean of its divisors is an integer number (1998570).

Almost surely, 286925420 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 86925420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143897040).

86925420 is an abundant number, since it is smaller than the sum of its proper divisors (200868660).

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

86925420 is a wasteful number, since it uses less digits than its factorization.

86925420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86925420 is about 9323.3802882860. The cubic root of 86925420 is about 442.9781100595.

The spelling of 86925420 in words is "eighty-six million, nine hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 557 578 612 765 867 918 1020 1114 1156 1445 1530 1671 1734 1836 2228 2295 2601 2785 2890 3060 3342 3468 4335 4590 5013 5202 5570 5780 6684 7803 8355 8670 9180 9469 10026 10404 11140 13005 15039 15606 16710 17340 18938 20052 25065 26010 28407 30078 31212 33420 37876 39015 47345 50130 52020 56814 60156 75195 78030 85221 94690 100260 113628 142035 150390 156060 160973 170442 189380 255663 284070 300780 321946 340884 426105 482919 511326 568140 643892 804865 852210 965838 1022652 1278315 1448757 1609730 1704420 1931676 2414595 2556630 2897514 3219460 4346271 4829190 5113260 5795028 7243785 8692542 9658380 14487570 17385084 21731355 28975140 43462710 86925420