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60993120 = 2535314099
BaseRepresentation
bin1110100010101…
…0111001100000
311020202202211110
43220222321200
5111103234440
610015143320
71340301336
oct350527140
9136682743
1060993120
113147a041
1218514b40
13c837006
148159b56
15554c080
hex3a2ae60

60993120 has 96 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 15736320.

The previous prime is 60993113. The next prime is 60993167. The reversal of 60993120 is 2139906.

It is a tau number, because it is divible by the number of its divisors (96).

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, 12831 + ... + 16929.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 260993120 is an apocalyptic number.

60993120 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 60993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

60993120 is an abundant number, since it is smaller than the sum of its proper divisors (137381280).

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

60993120 is a wasteful number, since it uses less digits than its factorization.

60993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 60993120 is about 7809.8092166198. The cubic root of 60993120 is about 393.6349182453.

The spelling of 60993120 in words is "sixty million, nine hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4099 4960 7440 8198 12297 14880 16396 20495 24594 32792 40990 49188 61485 65584 81980 98376 122970 127069 131168 163960 196752 245940 254138 327920 381207 393504 491880 508276 635345 655840 762414 983760 1016552 1270690 1524828 1906035 1967520 2033104 2541380 3049656 3812070 4066208 5082760 6099312 7624140 10165520 12198624 15248280 20331040 30496560 60993120