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89107340 = 225719139241
BaseRepresentation
bin1010100111110…
…10101110001100
320012200010021212
411103322232030
5140302413330
612501513552
72131254110
oct523725614
9205603255
1089107340
1146331733
1225a128b8
13155cb84a
14bb97740
157c52295
hex54fab8c

89107340 has 96 divisors (see below), whose sum is σ = 227673600. Its totient is φ = 28615680.

The previous prime is 89107331. The next prime is 89107349. The reversal of 89107340 is 4370198.

It is an interprime number because it is at equal distance from previous prime (89107331) and next prime (89107349).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 89107297 and 89107306.

It is not an unprimeable number, because it can be changed into a prime (89107349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369620 + ... + 369860.

It is an arithmetic number, because the mean of its divisors is an integer number (2371600).

Almost surely, 289107340 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 89107340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836800).

89107340 is an abundant number, since it is smaller than the sum of its proper divisors (138566260).

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

89107340 is a wasteful number, since it uses less digits than its factorization.

89107340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 89107340 is about 9439.6684263802. The cubic root of 89107340 is about 446.6539302326.

The spelling of 89107340 in words is "eighty-nine million, one hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 139 140 190 241 266 278 380 482 532 556 665 695 964 973 1205 1330 1390 1687 1946 2410 2641 2660 2780 3374 3892 4579 4820 4865 5282 6748 8435 9158 9730 10564 13205 16870 18316 18487 19460 22895 26410 32053 33499 33740 36974 45790 52820 64106 66998 73948 91580 92435 128212 133996 160265 167495 184870 234493 320530 334990 369740 468986 636481 641060 669980 937972 1172465 1272962 2344930 2545924 3182405 4455367 4689860 6364810 8910734 12729620 17821468 22276835 44553670 89107340