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61919616 = 27311107137
BaseRepresentation
bin1110110000110…
…1000110000000
311022111211202010
43230031012000
5111322411431
610051052520
71351210443
oct354150600
9138454663
1061919616
1131a52140
12188a1140
13ca9c935
14831b65a
155681846
hex3b0d180

61919616 has 128 divisors (see below), whose sum is σ = 182424960. Its totient is φ = 18452480.

The previous prime is 61919609. The next prime is 61919621. The reversal of 61919616 is 61691916.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451900 + ... + 452036.

It is an arithmetic number, because the mean of its divisors is an integer number (1425195).

Almost surely, 261919616 is an apocalyptic number.

61919616 is a gapful number since it is divisible by the number (66) 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 61919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91212480).

61919616 is an abundant number, since it is smaller than the sum of its proper divisors (120505344).

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

61919616 is a wasteful number, since it uses less digits than its factorization.

61919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 17496, while the sum is 39.

The square root of 61919616 is about 7868.9018293533. The cubic root of 61919616 is about 395.6180379819.

The spelling of 61919616 in words is "sixty-one million, nine hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 137 176 192 214 264 274 321 352 384 411 428 528 548 642 704 822 856 1056 1096 1177 1284 1408 1507 1644 1712 2112 2192 2354 2568 3014 3288 3424 3531 4224 4384 4521 4708 5136 6028 6576 6848 7062 8768 9042 9416 10272 12056 13152 13696 14124 14659 17536 18084 18832 20544 24112 26304 28248 29318 36168 37664 41088 43977 48224 52608 56496 58636 72336 75328 87954 96448 112992 117272 144672 150656 161249 175908 192896 225984 234544 289344 322498 351816 451968 469088 483747 578688 644996 703632 938176 967494 1289992 1407264 1876352 1934988 2579984 2814528 3869976 5159968 5629056 7739952 10319936 15479904 20639872 30959808 61919616