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89314680 = 23357138179
BaseRepresentation
bin1010101001011…
…01010101111000
320020001122201010
411110231111320
5140331032210
612510153520
72133106440
oct524552570
9206048633
1089314680
1146463494
1225ab28a0
1315672030
14bc0d120
157c93920
hex552d578

89314680 has 128 divisors (see below), whose sum is σ = 329817600. Its totient is φ = 18842112.

The previous prime is 89314679. The next prime is 89314703. The reversal of 89314680 is 8641398.

It is a super-2 number, since 2×893146802 = 15954224127004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831 + ... + 15009.

It is an arithmetic number, because the mean of its divisors is an integer number (2576700).

Almost surely, 289314680 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 89314680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164908800).

89314680 is an abundant number, since it is smaller than the sum of its proper divisors (240502920).

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

89314680 is a wasteful number, since it uses less digits than its factorization.

89314680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 89314680 is about 9450.6444224719. The cubic root of 89314680 is about 447.0000950908. Note that the first 4 decimals are identical.

The spelling of 89314680 in words is "eighty-nine million, three hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 8179 10920 16358 24537 32716 40895 49074 57253 65432 81790 98148 106327 114506 122685 163580 171759 196296 212654 229012 245370 286265 318981 327160 343518 425308 458024 490740 531635 572530 637962 687036 744289 850616 858795 981480 1063270 1145060 1275924 1374072 1488578 1594905 1717590 2126540 2232867 2290120 2551848 2977156 3189810 3435180 3721445 4253080 4465734 5954312 6379620 6870360 7442890 8931468 11164335 12759240 14885780 17862936 22328670 29771560 44657340 89314680