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89139840 = 2735172731
BaseRepresentation
bin1010101000000…
…10101010000000
320012201202212120
411110002222000
5140304433330
612502324240
72131450626
oct524025200
9205652776
1089139840
1146354099
1225a29680
131561058a
14bba5516
157c5bc10
hex5502a80

89139840 has 128 divisors (see below), whose sum is σ = 300957120. Its totient is φ = 22364160.

The previous prime is 89139839. The next prime is 89139859. The reversal of 89139840 is 4893198.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×891398402 = 15891822150451200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 89139792 and 89139801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31275 + ... + 34005.

Almost surely, 289139840 is an apocalyptic number.

89139840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150478560).

89139840 is an abundant number, since it is smaller than the sum of its proper divisors (211817280).

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

89139840 is a wasteful number, since it uses less digits than its factorization.

89139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 89139840 is about 9441.3897282127. The cubic root of 89139840 is about 446.7082261273.

The spelling of 89139840 in words is "eighty-nine million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 2731 3264 4080 5440 5462 6528 8160 8193 10880 10924 13655 16320 16386 21848 27310 32640 32772 40965 43696 46427 54620 65544 81930 87392 92854 109240 131088 139281 163860 174784 185708 218480 232135 262176 278562 327720 349568 371416 436960 464270 524352 557124 655440 696405 742832 873920 928540 1048704 1114248 1310880 1392810 1485664 1747840 1857080 2228496 2621760 2785620 2971328 3714160 4456992 5243520 5571240 5942656 7428320 8913984 11142480 14856640 17827968 22284960 29713280 44569920 89139840