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60195832240 = 24531791132719
BaseRepresentation
bin111000000011111100…
…111000000110110000
312202101011002010002011
4320003330320012300
51441240113112430
643353101332304
74230465063115
oct700374700660
9182334063064
1060195832240
112358aa83795
12b7bb567094
1358a41b545b
142cb08ac90c
151874a3722a
hexe03f381b0

60195832240 has 160 divisors (see below), whose sum is σ = 147647692800. Its totient is φ = 22794670080.

The previous prime is 60195832223. The next prime is 60195832241. The reversal of 60195832240 is 4223859106.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 60195832193 and 60195832202.

It is not an unprimeable number, because it can be changed into a prime (60195832241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22137601 + ... + 22140319.

It is an arithmetic number, because the mean of its divisors is an integer number (922798080).

Almost surely, 260195832240 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 60195832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73823846400).

60195832240 is an abundant number, since it is smaller than the sum of its proper divisors (87451860560).

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

60195832240 is a wasteful number, since it uses less digits than its factorization.

60195832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 60195832240 in words is "sixty billion, one hundred ninety-five million, eight hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 113 124 155 158 226 248 310 316 395 452 496 565 620 632 790 904 1130 1240 1264 1580 1808 2260 2449 2480 2719 3160 3503 4520 4898 5438 6320 7006 8927 9040 9796 10876 12245 13595 14012 17515 17854 19592 21752 24490 27190 28024 35030 35708 39184 43504 44635 48980 54380 56048 70060 71416 84289 89270 97960 108760 140120 142832 168578 178540 195920 214801 217520 276737 280240 307247 337156 357080 421445 429602 553474 614494 674312 714160 842890 859204 1074005 1106948 1228988 1348624 1383685 1536235 1685780 1718408 2148010 2213896 2457976 2767370 3072470 3371560 3436816 4296020 4427792 4915952 5534740 6144940 6658831 6743120 8592040 9524657 11069480 12289880 13317662 17184080 19049314 22138960 24272513 24579760 26635324 33294155 38098628 47623285 48545026 53270648 66588310 76197256 95246570 97090052 106541296 121362565 133176620 152394512 190493140 194180104 242725130 266353240 380986280 388360208 485450260 532706480 752447903 761972560 970900520 1504895806 1941801040 3009791612 3762239515 6019583224 7524479030 12039166448 15048958060 30097916120 60195832240