Search a number
-
+
89693240 = 23571341601
BaseRepresentation
bin1010101100010…
…01110000111000
320020202212222212
411112021300320
5140430140430
612522234252
72136244220
oct526116070
9206685885
1089693240
11466a194a
1226055988
1315775430
14bcab080
157d1ab95
hex5589c38

89693240 has 128 divisors (see below), whose sum is σ = 254862720. Its totient is φ = 27648000.

The previous prime is 89693213. The next prime is 89693267. The reversal of 89693240 is 4239698.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89693213) and next prime (89693267).

It is a super-3 number, since 3×896932403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 148940 + ... + 149540.

It is an arithmetic number, because the mean of its divisors is an integer number (1991115).

Almost surely, 289693240 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 89693240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127431360).

89693240 is an abundant number, since it is smaller than the sum of its proper divisors (165169480).

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

89693240 is a wasteful number, since it uses less digits than its factorization.

89693240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 89693240 is about 9470.6515087400. The cubic root of 89693240 is about 447.6307411131.

The spelling of 89693240 in words is "eighty-nine million, six hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 601 728 820 910 1066 1148 1202 1435 1640 1820 2132 2296 2404 2665 2870 3005 3640 3731 4207 4264 4808 5330 5740 6010 7462 7813 8414 10660 11480 12020 14924 15626 16828 18655 21035 21320 24040 24641 29848 31252 33656 37310 39065 42070 49282 54691 62504 74620 78130 84140 98564 109382 123205 149240 156260 168280 172487 197128 218764 246410 273455 312520 320333 344974 437528 492820 546910 640666 689948 862435 985640 1093820 1281332 1379896 1601665 1724870 2187640 2242331 2562664 3203330 3449740 4484662 6406660 6899480 8969324 11211655 12813320 17938648 22423310 44846620 89693240