Search a number
-
+
35980098 = 23711471657
BaseRepresentation
bin1000100101000…
…0001101000010
32111200222102020
42021100031002
533202330343
63323102310
7614553150
oct211201502
974628366
1035980098
1119345420
1210071996
1375b9bcb
144ac83d0
15325ab83
hex2250342

35980098 has 64 divisors (see below), whose sum is σ = 91680768. Its totient is φ = 9141120.

The previous prime is 35980081. The next prime is 35980099. The reversal of 35980098 is 89008953.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (35980099) 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, 20886 + ... + 22542.

It is an arithmetic number, because the mean of its divisors is an integer number (1432512).

Almost surely, 235980098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35980098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45840384).

35980098 is an abundant number, since it is smaller than the sum of its proper divisors (55700670).

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

35980098 is a wasteful number, since it uses less digits than its factorization.

35980098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 35980098 is about 5998.3412707181. The cubic root of 35980098 is about 330.1318664917.

The spelling of 35980098 in words is "thirty-five million, nine hundred eighty thousand, ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1657 1974 3102 3314 3619 4971 7238 9942 10857 11599 18227 21714 23198 34797 36454 54681 69594 77879 109362 127589 155758 233637 255178 382767 467274 545153 765534 856669 1090306 1635459 1713338 2570007 3270918 5140014 5996683 11993366 17990049 35980098