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1190630144 = 28112331593
BaseRepresentation
bin100011011110111…
…1001001100000000
310001222101021111202
41012331321030000
54414300131034
6314051200332
741335121624
oct10675711400
93058337452
101190630144
11561097060
122928a60a8
1315c8936a2
14b41b1184
156e7d947e
hex46f79300

1190630144 has 144 divisors (see below), whose sum is σ = 2797369344. Its totient is φ = 500121600.

The previous prime is 1190630137. The next prime is 1190630159. The reversal of 1190630144 is 4410360911.

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, 2007512 + ... + 2008104.

It is an arithmetic number, because the mean of its divisors is an integer number (19426176).

Almost surely, 21190630144 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 1190630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398684672).

1190630144 is an abundant number, since it is smaller than the sum of its proper divisors (1606739200).

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

1190630144 is a wasteful number, since it uses less digits than its factorization.

1190630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1190630144 is about 34505.5088935086. The cubic root of 1190630144 is about 1059.8855174806.

The spelling of 1190630144 in words is "one billion, one hundred ninety million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 64 88 92 124 128 176 184 248 253 256 341 352 368 496 506 593 682 704 713 736 992 1012 1186 1364 1408 1426 1472 1984 2024 2372 2728 2816 2852 2944 3968 4048 4744 5456 5704 5888 6523 7843 7936 8096 9488 10912 11408 13046 13639 15686 16192 18383 18976 21824 22816 26092 27278 31372 32384 36766 37952 43648 45632 52184 54556 62744 64768 73532 75904 87296 91264 104368 109112 125488 147064 150029 151808 182528 202213 208736 218224 250976 294128 300058 404426 417472 422809 436448 501952 588256 600116 808852 834944 845618 872896 1003904 1176512 1200232 1617704 1669888 1691236 1745792 2007808 2353024 2400464 3235408 3382472 3491584 4650899 4706048 4800928 6470816 6764944 9301798 9601856 12941632 13529888 18603596 19203712 25883264 27059776 37207192 38407424 51766528 54119552 74414384 108239104 148828768 297657536 595315072 1190630144