Search a number
-
+
142229376 = 2732331373
BaseRepresentation
bin10000111101000…
…11111110000000
3100220122000000200
420132203332000
5242402320001
622040245200
73344633622
oct1036437600
9326560020
10142229376
1173315043
123b770800
132360acc3
1414c64c12
15c747086
hex87a3f80

142229376 has 96 divisors (see below), whose sum is σ = 411616920. Its totient is φ = 47139840.

The previous prime is 142229357. The next prime is 142229389. The reversal of 142229376 is 673922241.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 142229376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381126 + ... + 381498.

Almost surely, 2142229376 is an apocalyptic number.

142229376 is a gapful number since it is divisible by the number (16) 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 142229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205808460).

142229376 is an abundant number, since it is smaller than the sum of its proper divisors (269387544).

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

142229376 is a wasteful number, since it uses less digits than its factorization.

142229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 709 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 142229376 is about 11925.9958074787. The cubic root of 142229376 is about 521.9911039132.

The spelling of 142229376 in words is "one hundred forty-two million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 331 373 384 576 662 746 993 1119 1152 1324 1492 1986 2238 2648 2979 2984 3357 3972 4476 5296 5958 5968 6714 7944 8952 10592 11916 11936 13428 15888 17904 21184 23832 23872 26856 31776 35808 42368 47664 47744 53712 63552 71616 95328 107424 123463 127104 143232 190656 214848 246926 370389 381312 429696 493852 740778 987704 1111167 1481556 1975408 2222334 2963112 3950816 4444668 5926224 7901632 8889336 11852448 15803264 17778672 23704896 35557344 47409792 71114688 142229376