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141320790 = 23251343532
BaseRepresentation
bin10000110110001…
…10001001010110
3100211220211200100
420123012021112
5242134231130
622004554530
73334130652
oct1033061126
9324824610
10141320790
1172854446
123b3b2a46
1323380590
1414aa9a62
15c617c60
hex86c6256

141320790 has 144 divisors (see below), whose sum is σ = 412684272. Its totient is φ = 33336576.

The previous prime is 141320771. The next prime is 141320827. The reversal of 141320790 is 97023141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2666404 + ... + 2666456.

It is an arithmetic number, because the mean of its divisors is an integer number (2865863).

Almost surely, 2141320790 is an apocalyptic number.

141320790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141320790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206342136).

141320790 is an abundant number, since it is smaller than the sum of its proper divisors (271363482).

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

141320790 is a wasteful number, since it uses less digits than its factorization.

141320790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 141320790 is about 11887.8421086419. The cubic root of 141320790 is about 520.8772052786.

The spelling of 141320790 in words is "one hundred forty-one million, three hundred twenty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 53 65 78 86 90 106 117 129 130 159 195 215 234 258 265 318 387 390 430 477 530 559 585 645 689 774 795 954 1118 1170 1290 1378 1590 1677 1935 2067 2279 2385 2795 2809 3354 3445 3870 4134 4558 4770 5031 5590 5618 6201 6837 6890 8385 8427 10062 10335 11395 12402 13674 14045 16770 16854 20511 20670 22790 25155 25281 28090 29627 31005 34185 36517 41022 42135 50310 50562 59254 62010 68370 73034 84270 88881 102555 109551 120787 126405 148135 177762 182585 205110 219102 241574 252810 266643 296270 328653 362361 365170 444405 533286 547755 603935 657306 724722 888810 1087083 1095510 1207870 1333215 1570231 1643265 1811805 2174166 2666430 3140462 3286530 3623610 4710693 5435415 7851155 9421386 10870830 14132079 15702310 23553465 28264158 47106930 70660395 141320790