Search a number
-
+
142078464 = 2932112803
BaseRepresentation
bin10000111011111…
…11001000000000
3100220100100000100
420131333020000
5242333002324
622033122400
73343434633
oct1035771000
9326310010
10142078464
1173221720
123b6b9400
13235873c8
1414c25c1a
15c7174c9
hex877f200

142078464 has 120 divisors (see below), whose sum is σ = 447484752. Its totient is φ = 43038720.

The previous prime is 142078463. The next prime is 142078471. The reversal of 142078464 is 464870241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142078463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49287 + ... + 52089.

Almost surely, 2142078464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223742376).

142078464 is an abundant number, since it is smaller than the sum of its proper divisors (305406288).

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

142078464 is a wasteful number, since it uses less digits than its factorization.

142078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 142078464 is about 11919.6671094456. The cubic root of 142078464 is about 521.8064196111.

The spelling of 142078464 in words is "one hundred forty-two million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2803 2816 3168 4224 4608 5606 5632 6336 8409 8448 11212 12672 16818 16896 22424 25227 25344 30833 33636 44848 50454 50688 61666 67272 89696 92499 100908 123332 134544 179392 184998 201816 246664 269088 277497 358784 369996 403632 493328 538176 554994 717568 739992 807264 986656 1076352 1109988 1435136 1479984 1614528 1973312 2152704 2219976 2959968 3229056 3946624 4305408 4439952 5919936 6458112 7893248 8879904 11839872 12916224 15786496 17759808 23679744 35519616 47359488 71039232 142078464