Search a number
-
+
93100104 = 233583577
BaseRepresentation
bin1011000110010…
…01100001001000
320111011222100000
411203021201020
5142313200404
613123243000
72210223606
oct543114110
9214158300
1093100104
1148609539
1227219460
1316399026
14c516876
158290339
hex58c9848

93100104 has 96 divisors (see below), whose sum is σ = 265093920. Its totient is φ = 30606336.

The previous prime is 93100097. The next prime is 93100127. The reversal of 93100104 is 40100139.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161064 + ... + 161640.

It is an arithmetic number, because the mean of its divisors is an integer number (2761395).

Almost surely, 293100104 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 93100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132546960).

93100104 is an abundant number, since it is smaller than the sum of its proper divisors (171993816).

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

93100104 is a wasteful number, since it uses less digits than its factorization.

93100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 93100104 is about 9648.8395157138. The cubic root of 93100104 is about 453.2279892671.

The spelling of 93100104 in words is "ninety-three million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 577 648 664 747 972 996 1154 1494 1731 1944 1992 2241 2308 2988 3462 4482 4616 5193 5976 6723 6924 8964 10386 13446 13848 15579 17928 20169 20772 26892 31158 40338 41544 46737 47891 53784 62316 80676 93474 95782 124632 140211 143673 161352 186948 191564 280422 287346 373896 383128 431019 560844 574692 862038 1121688 1149384 1293057 1724076 2586114 3448152 3879171 5172228 7758342 10344456 11637513 15516684 23275026 31033368 46550052 93100104