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89146620 = 223252361353
BaseRepresentation
bin1010101000001…
…00010011111100
320012202010011200
411110010103330
5140310142440
612502415500
72131506453
oct524042374
9205663150
1089146620
11463591a2
1225a31590
13156136a4
14bba7b9a
157c5dc30
hex55044fc

89146620 has 144 divisors (see below), whose sum is σ = 287606592. Its totient is φ = 22302720.

The previous prime is 89146619. The next prime is 89146621. The reversal of 89146620 is 2664198.

It is an interprime number because it is at equal distance from previous prime (89146619) and next prime (89146621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89146621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252364 + ... + 252716.

It is an arithmetic number, because the mean of its divisors is an integer number (1997268).

Almost surely, 289146620 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 89146620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143803296).

89146620 is an abundant number, since it is smaller than the sum of its proper divisors (198459972).

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

89146620 is a wasteful number, since it uses less digits than its factorization.

89146620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89146620 is about 9441.7487786956. The cubic root of 89146620 is about 446.7195514225.

The spelling of 89146620 in words is "eighty-nine million, one hundred forty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 61 69 90 92 115 122 138 180 183 207 230 244 276 305 345 353 366 414 460 549 610 690 706 732 828 915 1035 1059 1098 1220 1380 1403 1412 1765 1830 2070 2118 2196 2745 2806 3177 3530 3660 4140 4209 4236 5295 5490 5612 6354 7015 7060 8119 8418 10590 10980 12627 12708 14030 15885 16238 16836 21045 21180 21533 24357 25254 28060 31770 32476 40595 42090 43066 48714 50508 63135 63540 64599 73071 81190 84180 86132 97428 107665 121785 126270 129198 146142 162380 193797 215330 243570 252540 258396 292284 322995 365355 387594 430660 487140 495259 645990 730710 775188 968985 990518 1291980 1461420 1485777 1937970 1981036 2476295 2971554 3875940 4457331 4952590 5943108 7428885 8914662 9905180 14857770 17829324 22286655 29715540 44573310 89146620