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61142040 = 23345113167
BaseRepresentation
bin1110100100111…
…1010000011000
311021001100010000
43221033100120
5111123021130
610022253000
71341461451
oct351172030
9137040100
1061142040
1131570a13
1218587160
13c889a2b
148198128
15557b260
hex3a4f418

61142040 has 160 divisors (see below), whose sum is σ = 208565280. Its totient is φ = 16063488.

The previous prime is 61142017. The next prime is 61142077. The reversal of 61142040 is 4024116.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366037 + ... + 366203.

It is an arithmetic number, because the mean of its divisors is an integer number (1303533).

Almost surely, 261142040 is an apocalyptic number.

61142040 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 61142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

61142040 is an abundant number, since it is smaller than the sum of its proper divisors (147423240).

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

61142040 is a wasteful number, since it uses less digits than its factorization.

61142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 61142040 is about 7819.3375678506. The cubic root of 61142040 is about 393.9550224796.

Adding to 61142040 its reverse (4024116), we get a palindrome (65166156).

The spelling of 61142040 in words is "sixty-one million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 113 120 135 162 167 180 216 226 270 324 334 339 360 405 452 501 540 565 648 668 678 810 835 904 1002 1017 1080 1130 1336 1356 1503 1620 1670 1695 2004 2034 2260 2505 2712 3006 3051 3240 3340 3390 4008 4068 4509 4520 5010 5085 6012 6102 6680 6780 7515 8136 9018 9153 10020 10170 12024 12204 13527 13560 15030 15255 18036 18306 18871 20040 20340 22545 24408 27054 30060 30510 36072 36612 37742 40680 45090 45765 54108 56613 60120 61020 67635 73224 75484 90180 91530 94355 108216 113226 122040 135270 150968 169839 180360 183060 188710 226452 270540 283065 339678 366120 377420 452904 509517 541080 566130 679356 754840 849195 1019034 1132260 1358712 1528551 1698390 2038068 2264520 2547585 3057102 3396780 4076136 5095170 6114204 6793560 7642755 10190340 12228408 15285510 20380680 30571020 61142040