Search a number
-
+
61903620 = 223253311039
BaseRepresentation
bin1110110000100…
…1001100000100
311022111000210200
43230021030010
5111321403440
610050450500
71351113012
oct354111404
9138430720
1061903620
1131a41119
1218893a30
13ca9557c
1483158b2
15567bc30
hex3b09304

61903620 has 72 divisors (see below), whose sum is σ = 188522880. Its totient is φ = 16441920.

The previous prime is 61903609. The next prime is 61903637. The reversal of 61903620 is 2630916.

It is a happy number.

It is a congruent number.

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, 59061 + ... + 60099.

Almost surely, 261903620 is an apocalyptic number.

61903620 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61903620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94261440).

61903620 is an abundant number, since it is smaller than the sum of its proper divisors (126619260).

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

61903620 is a wasteful number, since it uses less digits than its factorization.

61903620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61903620 is about 7867.8853575786. The cubic root of 61903620 is about 395.5839677277.

The spelling of 61903620 in words is "sixty-one million, nine hundred three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 993 1039 1324 1655 1986 2078 2979 3117 3310 3972 4156 4965 5195 5958 6234 6620 9351 9930 10390 11916 12468 14895 15585 18702 19860 20780 29790 31170 37404 46755 59580 62340 93510 187020 343909 687818 1031727 1375636 1719545 2063454 3095181 3439090 4126908 5158635 6190362 6878180 10317270 12380724 15475905 20634540 30951810 61903620