Search a number
-
+
60216960 = 273579397
BaseRepresentation
bin1110010110110…
…1011010000000
311012022100010210
43211231122000
5110403420320
65550354120
71330556436
oct345553200
9135270123
1060216960
1130a99991
12181bb940
13c62494b
147dd6d56
1554470e0
hex396d680

60216960 has 128 divisors (see below), whose sum is σ = 194860800. Its totient is φ = 15814656.

The previous prime is 60216953. The next prime is 60216977. The reversal of 60216960 is 6961206.

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

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

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, 151482 + ... + 151878.

It is an arithmetic number, because the mean of its divisors is an integer number (1522350).

Almost surely, 260216960 is an apocalyptic number.

60216960 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 60216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97430400).

60216960 is an abundant number, since it is smaller than the sum of its proper divisors (134643840).

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

60216960 is a wasteful number, since it uses less digits than its factorization.

60216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 60216960 is about 7759.9587627770. The cubic root of 60216960 is about 391.9580685400.

The spelling of 60216960 in words is "sixty million, two hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 316 320 384 395 397 474 480 632 640 790 794 948 960 1185 1191 1264 1580 1588 1896 1920 1985 2370 2382 2528 3160 3176 3792 3970 4740 4764 5056 5955 6320 6352 7584 7940 9480 9528 10112 11910 12640 12704 15168 15880 18960 19056 23820 25280 25408 30336 31363 31760 37920 38112 47640 50560 50816 62726 63520 75840 76224 94089 95280 125452 127040 151680 152448 156815 188178 190560 250904 254080 313630 376356 381120 470445 501808 627260 752712 762240 940890 1003616 1254520 1505424 1881780 2007232 2509040 3010848 3763560 4014464 5018080 6021696 7527120 10036160 12043392 15054240 20072320 30108480 60216960