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61190208 = 2633172083
BaseRepresentation
bin1110100101101…
…1000001000000
311021010210012000
43221123001000
5111131041313
610023304000
71342052052
oct351330100
9137123160
1061190208
11315a4122
12185ab000
13c8a5931
1481ab8d2
15558a673
hex3a5b040

61190208 has 112 divisors (see below), whose sum is σ = 190560960. Its totient is φ = 19187712.

The previous prime is 61190201. The next prime is 61190209. The reversal of 61190208 is 80209116.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61190201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28335 + ... + 30417.

Almost surely, 261190208 is an apocalyptic number.

61190208 is a gapful number since it is divisible by the number (68) 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 61190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95280480).

61190208 is an abundant number, since it is smaller than the sum of its proper divisors (129370752).

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

61190208 is a wasteful number, since it uses less digits than its factorization.

61190208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 61190208 is about 7822.4170177765. The cubic root of 61190208 is about 394.0584485596.

The spelling of 61190208 in words is "sixty-one million, one hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2083 2448 3264 3672 4166 4896 6249 7344 8332 9792 12498 14688 16664 18747 24996 29376 33328 35411 37494 49992 56241 66656 70822 74988 99984 106233 112482 133312 141644 149976 199968 212466 224964 283288 299952 318699 399936 424932 449928 566576 599904 637398 849864 899856 956097 1133152 1199808 1274796 1699728 1799712 1912194 2266304 2549592 3399456 3599424 3824388 5099184 6798912 7648776 10198368 15297552 20396736 30595104 61190208