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61195104 = 25321729431
BaseRepresentation
bin1110100101110…
…0001101100000
311021011000220100
43221130031200
5111131220404
610023342400
71342102245
oct351341540
9137130810
1061195104
11315a7873
12185b1a00
13c8a7c29
1481ad5cc
15558bd39
hex3a5c360

61195104 has 144 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 18493440.

The previous prime is 61195061. The next prime is 61195171. The reversal of 61195104 is 40159116.

It is a tau number, because it is divible by the number of its divisors (144).

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, 141769 + ... + 142199.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 261195104 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 61195104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

61195104 is an abundant number, since it is smaller than the sum of its proper divisors (129861216).

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

61195104 is a wasteful number, since it uses less digits than its factorization.

61195104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 61195104 is about 7822.7299582690. The cubic root of 61195104 is about 394.0689581862.

The spelling of 61195104 in words is "sixty-one million, one hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 431 464 493 522 544 612 696 816 862 928 986 1044 1224 1293 1392 1479 1632 1724 1972 2088 2448 2586 2784 2958 3448 3879 3944 4176 4437 4896 5172 5916 6896 7327 7758 7888 8352 8874 10344 11832 12499 13792 14654 15516 15776 17748 20688 21981 23664 24998 29308 31032 35496 37497 41376 43962 47328 49996 58616 62064 65943 70992 74994 87924 99992 112491 117232 124128 131886 141984 149988 175848 199984 212483 224982 234464 263772 299976 351696 399968 424966 449964 527544 599952 637449 703392 849932 899928 1055088 1199904 1274898 1699864 1799856 1912347 2110176 2549796 3399728 3599712 3824694 5099592 6799456 7649388 10199184 15298776 20398368 30597552 61195104