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1142021958 = 23711331659
BaseRepresentation
bin100010000010001…
…1101111101000110
32221120220201121120
41010010131331012
54314324200313
6305153254410
740205012040
oct10404357506
92846821546
101142021958
11536707000
1227a564406
131527a494c
14ab95aa90
156a3d6d23
hex4411df46

1142021958 has 128 divisors (see below), whose sum is σ = 2968289280. Its totient is φ = 286624800.

The previous prime is 1142021941. The next prime is 1142021963. The reversal of 1142021958 is 8591202411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732633 + ... + 1733291.

It is an arithmetic number, because the mean of its divisors is an integer number (23189760).

Almost surely, 21142021958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142021958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484144640).

1142021958 is an abundant number, since it is smaller than the sum of its proper divisors (1826267322).

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

1142021958 is a wasteful number, since it uses less digits than its factorization.

1142021958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1142021958 is about 33793.8153809244. The cubic root of 1142021958 is about 1045.2611720248.

The spelling of 1142021958 in words is "one billion, one hundred forty-two million, twenty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 154 186 217 231 242 341 363 434 462 651 659 682 726 847 1023 1302 1318 1331 1694 1977 2046 2387 2541 2662 3751 3954 3993 4613 4774 5082 7161 7249 7502 7986 9226 9317 11253 13839 14322 14498 18634 20429 21747 22506 26257 27678 27951 40858 41261 43494 50743 52514 55902 61287 78771 79739 82522 101486 122574 123783 143003 152229 157542 159478 224719 239217 247566 286006 288827 304458 429009 449438 478434 558173 577654 674157 858018 866481 877129 1116346 1348314 1573033 1674519 1732962 1754258 2471909 2631387 3146066 3349038 4719099 4943818 5262774 6139903 7415727 9438198 12279806 14831454 17303363 18419709 27190999 34606726 36839418 51910089 54381998 81572997 103820178 163145994 190336993 380673986 571010979 1142021958