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141020984 = 23131731283
BaseRepresentation
bin10000110011111…
…00111100111000
3100211100121102102
420121330330320
5242100132414
621554322532
73331441616
oct1031747470
9324317372
10141020984
117266a175
123b289448
13232a6c90
1414a2c6b6
15c5a8ede
hex867cf38

141020984 has 96 divisors (see below), whose sum is σ = 315297360. Its totient is φ = 58567680.

The previous prime is 141020941. The next prime is 141020987. The reversal of 141020984 is 489020141.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141020987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699007 + ... + 1699089.

Almost surely, 2141020984 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 141020984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157648680).

141020984 is an abundant number, since it is smaller than the sum of its proper divisors (174276376).

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

141020984 is a wasteful number, since it uses less digits than its factorization.

141020984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 141020984 is about 11875.2256399615. The cubic root of 141020984 is about 520.5086049423.

The spelling of 141020984 in words is "one hundred forty-one million, twenty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 83 104 124 136 166 221 248 332 403 442 527 664 806 884 961 1054 1079 1411 1612 1768 1922 2108 2158 2573 2822 3224 3844 4216 4316 5146 5644 6851 7688 8632 10292 11288 12493 13702 16337 18343 20584 24986 27404 32674 33449 36686 43741 49972 54808 65348 66898 73372 79763 87482 99944 130696 133796 146744 159526 174964 212381 267592 319052 349928 424762 568633 638104 849524 1036919 1137266 1355971 1699048 2073838 2274532 2711942 4147676 4549064 5423884 8295352 10847768 17627623 35255246 70510492 141020984