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101374980 = 22357594091
BaseRepresentation
bin1100000101011…
…01110000000100
321001202101022220
412002231300010
5201422444410
614020452340
72340446610
oct602556004
9231671286
10101374980
1152250583
1229b4a0b0
13180055c5
14d66c340
158d77070
hex60adc04

101374980 has 96 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 22773120.

The previous prime is 101374979. The next prime is 101374993. The reversal of 101374980 is 89473101.

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, 22735 + ... + 26825.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2101374980 is an apocalyptic number.

101374980 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 101374980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

101374980 is an abundant number, since it is smaller than the sum of its proper divisors (228603900).

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

101374980 is a wasteful number, since it uses less digits than its factorization.

101374980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 101374980 is about 10068.5142896060. The cubic root of 101374980 is about 466.2765708275.

The spelling of 101374980 in words is "one hundred one million, three hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4091 4130 4956 6195 8182 8260 12273 12390 16364 20455 24546 24780 28637 40910 49092 57274 61365 81820 85911 114548 122730 143185 171822 241369 245460 286370 343644 429555 482738 572740 724107 859110 965476 1206845 1448214 1689583 1718220 2413690 2896428 3379166 3620535 4827380 5068749 6758332 7241070 8447915 10137498 14482140 16895830 20274996 25343745 33791660 50687490 101374980