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101980440 = 23325833413
BaseRepresentation
bin1100001010000…
…01100100011000
321002220010212100
412011001210120
5202101333230
614041443400
72345551032
oct605014430
9232803770
10101980440
1152624461
122a1a0560
1318188073
14d788c52
158e46660
hex6141918

101980440 has 96 divisors (see below), whose sum is σ = 335527920. Its totient is φ = 26859264.

The previous prime is 101980409. The next prime is 101980441. The reversal of 101980440 is 44089101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101980441) 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, 28174 + ... + 31586.

Almost surely, 2101980440 is an apocalyptic number.

101980440 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 101980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763960).

101980440 is an abundant number, since it is smaller than the sum of its proper divisors (233547480).

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

101980440 is a wasteful number, since it uses less digits than its factorization.

101980440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101980440 is about 10098.5365276361. The cubic root of 101980440 is about 467.2030046681.

The spelling of 101980440 in words is "one hundred one million, nine hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3413 3735 4980 5976 6826 7470 9960 10239 13652 14940 17065 20478 27304 29880 30717 34130 40956 51195 61434 68260 81912 102390 122868 136520 153585 204780 245736 283279 307170 409560 566558 614340 849837 1133116 1228680 1416395 1699674 2266232 2549511 2832790 3399348 4249185 5099022 5665580 6798696 8498370 10198044 11331160 12747555 16996740 20396088 25495110 33993480 50990220 101980440