Search a number
-
+
104036970 = 23519374933
BaseRepresentation
bin1100011001101…
…11101001101010
321020202121220010
412030313221222
5203113140340
614153512350
72402204532
oct614675152
9236677803
10104036970
11537a9574
122aa126b6
131872814b
14db624c2
159200b80
hex6337a6a

104036970 has 64 divisors (see below), whose sum is σ = 269988480. Its totient is φ = 25567488.

The previous prime is 104036929. The next prime is 104036983. The reversal of 104036970 is 79630401.

104036970 = 23312 + 23322 + ... + 23492.

It is a happy number.

It is a super-2 number, since 2×1040369702 = 21647382253561800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18624 + ... + 23556.

It is an arithmetic number, because the mean of its divisors is an integer number (4218570).

Almost surely, 2104036970 is an apocalyptic number.

104036970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104036970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134994240).

104036970 is an abundant number, since it is smaller than the sum of its proper divisors (165951510).

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

104036970 is a wasteful number, since it uses less digits than its factorization.

104036970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 104036970 is about 10199.8514695068. The cubic root of 104036970 is about 470.3226545601.

The spelling of 104036970 in words is "one hundred four million, thirty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 4218 4933 7030 9866 10545 14799 21090 24665 29598 49330 73995 93727 147990 182521 187454 281181 365042 468635 547563 562362 912605 937270 1095126 1405905 1825210 2737815 2811810 3467899 5475630 6935798 10403697 17339495 20807394 34678990 52018485 104036970