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142061640 = 233571311291
BaseRepresentation
bin10000111011110…
…11000001001000
3100220022110221020
420131323001020
5242331433030
622032512440
73343334610
oct1035730110
9326273836
10142061640
1173210016
123b6ab720
132357c856
1414c1da40
15c712510
hex877b048

142061640 has 128 divisors (see below), whose sum is σ = 491166720. Its totient is φ = 32198400.

The previous prime is 142061629. The next prime is 142061657. The reversal of 142061640 is 46160241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142061640.

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, 109395 + ... + 110685.

It is an arithmetic number, because the mean of its divisors is an integer number (3837240).

Almost surely, 2142061640 is an apocalyptic number.

142061640 is a gapful number since it is divisible by the number (10) 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 142061640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245583360).

142061640 is an abundant number, since it is smaller than the sum of its proper divisors (349105080).

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

142061640 is a wasteful number, since it uses less digits than its factorization.

142061640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 142061640 is about 11918.9613641458. The cubic root of 142061640 is about 521.7858225000.

The spelling of 142061640 in words is "one hundred forty-two million, sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1291 1310 1572 1834 1965 2582 2620 2751 3144 3668 3873 3930 4585 5164 5240 5502 6455 7336 7746 7860 9037 9170 10328 11004 12910 13755 15492 15720 18074 18340 19365 22008 25820 27111 27510 30984 36148 36680 38730 45185 51640 54222 55020 72296 77460 90370 108444 110040 135555 154920 169121 180740 216888 271110 338242 361480 507363 542220 676484 845605 1014726 1084440 1183847 1352968 1691210 2029452 2367694 2536815 3382420 3551541 4058904 4735388 5073630 5919235 6764840 7103082 9470776 10147260 11838470 14206164 17757705 20294520 23676940 28412328 35515410 47353880 71030820 142061640