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142320320 = 2652361317
BaseRepresentation
bin10000111101110…
…10001011000000
3100220210121202222
420132322023000
5242413222240
622042230212
73345463022
oct1036721300
9326717688
10142320320
11733773aa
123b7b5368
132364050c
1414c8a012
15c763eb5
hex87ba2c0

142320320 has 112 divisors (see below), whose sum is σ = 360566208. Its totient is φ = 53391360.

The previous prime is 142320301. The next prime is 142320337. The reversal of 142320320 is 23023241.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448802 + ... + 449118.

Almost surely, 2142320320 is an apocalyptic number.

142320320 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 142320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180283104).

142320320 is an abundant number, since it is smaller than the sum of its proper divisors (218245888).

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

142320320 is a wasteful number, since it uses less digits than its factorization.

142320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 142320320 is about 11929.8080453962. The cubic root of 142320320 is about 522.1023370160.

Adding to 142320320 its reverse (23023241), we get a palindrome (165343561).

The spelling of 142320320 in words is "one hundred forty-two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 64 80 92 115 122 160 184 230 244 305 317 320 368 460 488 610 634 736 920 976 1220 1268 1403 1472 1585 1840 1952 2440 2536 2806 3170 3680 3904 4880 5072 5612 6340 7015 7291 7360 9760 10144 11224 12680 14030 14582 19337 19520 20288 22448 25360 28060 29164 36455 38674 44896 50720 56120 58328 72910 77348 89792 96685 101440 112240 116656 145820 154696 193370 224480 233312 291640 309392 386740 444751 448960 466624 583280 618784 773480 889502 1166560 1237568 1546960 1779004 2223755 2333120 3093920 3558008 4447510 6187840 7116016 8895020 14232032 17790040 28464064 35580080 71160160 142320320