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61435140 = 22351379997
BaseRepresentation
bin1110101001011…
…0110100000100
311021121020011120
43222112310010
5111211411030
610032433540
71344122124
oct352266404
9137536146
1061435140
1131751148
12186a88b0
13c960270
148232c84
1555d8010
hex3a96d04

61435140 has 96 divisors (see below), whose sum is σ = 187783680. Its totient is φ = 14916096.

The previous prime is 61435117. The next prime is 61435163. The reversal of 61435140 is 4153416.

It is an interprime number because it is at equal distance from previous prime (61435117) and next prime (61435163).

It is a self number, because there is not a number n which added to its sum of digits gives 61435140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61122 + ... + 62118.

It is an arithmetic number, because the mean of its divisors is an integer number (1956080).

Almost surely, 261435140 is an apocalyptic number.

61435140 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 61435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93891840).

61435140 is an abundant number, since it is smaller than the sum of its proper divisors (126348540).

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

61435140 is a wasteful number, since it uses less digits than its factorization.

61435140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 61435140 is about 7838.0571572297. The cubic root of 61435140 is about 394.5835272863.

Adding to 61435140 its reverse (4153416), we get a palindrome (65588556).

The spelling of 61435140 in words is "sixty-one million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 997 1027 1185 1580 1994 2054 2370 2991 3081 3988 4108 4740 4985 5135 5982 6162 9970 10270 11964 12324 12961 14955 15405 19940 20540 25922 29910 30810 38883 51844 59820 61620 64805 77766 78763 129610 155532 157526 194415 236289 259220 315052 388830 393815 472578 777660 787630 945156 1023919 1181445 1575260 2047838 2362890 3071757 4095676 4725780 5119595 6143514 10239190 12287028 15358785 20478380 30717570 61435140