Search a number
-
+
61372116 = 223213711847
BaseRepresentation
bin1110101000011…
…1011011010100
311021111000201100
43222013123110
5111202401431
610031230100
71343440311
oct352073324
9137430640
1061372116
1131708863
1218678330
13c93a680
148217d08
1555c44e6
hex3a876d4

61372116 has 72 divisors (see below), whose sum is σ = 169513344. Its totient is φ = 18607680.

The previous prime is 61372111. The next prime is 61372139. The reversal of 61372116 is 61127316.

It is a self number, because there is not a number n which added to its sum of digits gives 61372116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61372111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32305 + ... + 34151.

It is an arithmetic number, because the mean of its divisors is an integer number (2354352).

Almost surely, 261372116 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 61372116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756672).

61372116 is an abundant number, since it is smaller than the sum of its proper divisors (108141228).

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

61372116 is a wasteful number, since it uses less digits than its factorization.

61372116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1936 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 61372116 is about 7834.0357415575. The cubic root of 61372116 is about 394.4485516526.

The spelling of 61372116 in words is "sixty-one million, three hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 1847 2556 2769 3692 3694 5538 5541 7388 8307 11076 11082 16614 16623 22164 24011 33228 33246 48022 66492 72033 96044 131137 144066 216099 262274 288132 393411 432198 524548 786822 864396 1180233 1573644 1704781 2360466 3409562 4720932 5114343 6819124 10228686 15343029 20457372 30686058 61372116