Search a number
-
+
61008930 = 23353137197
BaseRepresentation
bin1110100010111…
…0110000100010
311020210120112000
43220232300202
5111104241210
610015344430
71340365413
oct350566042
9136716460
1061008930
113148aa04
1218522116
13c841278
14816180a
155551ac0
hex3a2ec22

61008930 has 128 divisors (see below), whose sum is σ = 173352960. Its totient is φ = 15240960.

The previous prime is 61008929. The next prime is 61009031. The reversal of 61008930 is 3980016.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61008894 and 61008903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309592 + ... + 309788.

It is an arithmetic number, because the mean of its divisors is an integer number (1354320).

Almost surely, 261008930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61008930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86676480).

61008930 is an abundant number, since it is smaller than the sum of its proper divisors (112344030).

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

61008930 is a wasteful number, since it uses less digits than its factorization.

61008930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61008930 is about 7810.8213396544. The cubic root of 61008930 is about 393.6689266187.

Adding to 61008930 its reverse (3980016), we get a palindrome (64988946).

The spelling of 61008930 in words is "sixty-one million, eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 37 45 54 62 74 90 93 111 135 155 185 186 197 222 270 279 310 333 370 394 465 555 558 591 666 837 930 985 999 1110 1147 1182 1395 1665 1674 1773 1970 1998 2294 2790 2955 3330 3441 3546 4185 4995 5319 5735 5910 6107 6882 7289 8370 8865 9990 10323 10638 11470 12214 14578 17205 17730 18321 20646 21867 26595 30535 30969 34410 36445 36642 43734 51615 53190 54963 61070 61938 65601 72890 91605 103230 109335 109926 131202 154845 164889 183210 196803 218670 225959 274815 309690 328005 329778 393606 451918 549630 656010 677877 824445 984015 1129795 1355754 1648890 1968030 2033631 2259590 3389385 4067262 6100893 6778770 10168155 12201786 20336310 30504465 61008930