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101928840 = 233513223293
BaseRepresentation
bin1100001001101…
…00111110001000
321002210112002020
412010310332020
5202043210330
614040404440
72345244426
oct604647610
9232715066
10101928840
1152599712
122a176720
131816a730
14d774116
158e36210
hex6134f88

101928840 has 128 divisors (see below), whose sum is σ = 331914240. Its totient is φ = 24892416.

The previous prime is 101928817. The next prime is 101928851. The reversal of 101928840 is 48829101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347734 + ... + 348026.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2101928840 is an apocalyptic number.

101928840 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 101928840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

101928840 is an abundant number, since it is smaller than the sum of its proper divisors (229985400).

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

101928840 is a wasteful number, since it uses less digits than its factorization.

101928840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 101928840 is about 10095.9813787467. The cubic root of 101928840 is about 467.1241930117.

The spelling of 101928840 in words is "one hundred one million, nine hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 223 260 293 312 390 446 520 586 669 780 879 892 1115 1172 1338 1465 1560 1758 1784 2230 2344 2676 2899 2930 3345 3516 3809 4395 4460 5352 5798 5860 6690 7032 7618 8697 8790 8920 11427 11596 11720 13380 14495 15236 17394 17580 19045 22854 23192 26760 28990 30472 34788 35160 38090 43485 45708 57135 57980 65339 69576 76180 86970 91416 114270 115960 130678 152360 173940 196017 228540 261356 326695 347880 392034 457080 522712 653390 784068 849407 980085 1306780 1568136 1698814 1960170 2548221 2613560 3397628 3920340 4247035 5096442 6795256 7840680 8494070 10192884 12741105 16988140 20385768 25482210 33976280 50964420 101928840