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142077840 = 24351797359
BaseRepresentation
bin10000111011111…
…10111110010000
3100220100022011020
420131332332100
5242332442330
622033115440
73343433052
oct1035767620
9326308136
10142077840
1173221203
123b6b8b80
1323587038
1414c258d2
15c717210
hex877ef90

142077840 has 160 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 35192832.

The previous prime is 142077829. The next prime is 142077847. The reversal of 142077840 is 48770241.

It is a super-2 number, since 2×1420778402 = 40372225238131200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142077847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395581 + ... + 395939.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2142077840 is an apocalyptic number.

142077840 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 142077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

142077840 is an abundant number, since it is smaller than the sum of its proper divisors (330391920).

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

142077840 is a wasteful number, since it uses less digits than its factorization.

142077840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 142077840 is about 11919.6409341893. The cubic root of 142077840 is about 521.8056556960.

The spelling of 142077840 in words is "one hundred forty-two million, seventy-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 97 102 120 136 170 194 204 240 255 272 291 340 359 388 408 485 510 582 680 718 776 816 970 1020 1077 1164 1360 1436 1455 1552 1649 1795 1940 2040 2154 2328 2872 2910 3298 3590 3880 4080 4308 4656 4947 5385 5744 5820 6103 6596 7180 7760 8245 8616 9894 10770 11640 12206 13192 14360 16490 17232 18309 19788 21540 23280 24412 24735 26384 28720 30515 32980 34823 36618 39576 43080 48824 49470 61030 65960 69646 73236 79152 86160 91545 97648 98940 104469 122060 131920 139292 146472 174115 183090 197880 208938 244120 278584 292944 348230 366180 395760 417876 488240 522345 557168 591991 696460 732360 835752 1044690 1183982 1392920 1464720 1671504 1775973 2089380 2367964 2785840 2959955 3551946 4178760 4735928 5919910 7103892 8357520 8879865 9471856 11839820 14207784 17759730 23679640 28415568 35519460 47359280 71038920 142077840