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31141950 = 23527219223
BaseRepresentation
bin111011011001…
…1000000111110
32011121011201120
41312303000332
530433020300
63031251410
7525462600
oct166630076
964534646
1031141950
1116640454
12a519b66
1365b49b8
1441c9170
152b023a0
hex1db303e

31141950 has 144 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 6713280.

The previous prime is 31141937. The next prime is 31141951. The reversal of 31141950 is 5914113.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31141950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31141951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139539 + ... + 139761.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 231141950 is an apocalyptic number.

31141950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31141950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

31141950 is an abundant number, since it is smaller than the sum of its proper divisors (63851970).

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

31141950 is a wasteful number, since it uses less digits than its factorization.

31141950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 31141950 is about 5580.4972896687. The cubic root of 31141950 is about 314.6168180176.

The spelling of 31141950 in words is "thirty-one million, one hundred forty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 49 50 57 70 75 95 98 105 114 133 147 150 175 190 210 223 245 266 285 294 350 399 446 475 490 525 570 665 669 735 798 931 950 1050 1115 1225 1330 1338 1425 1470 1561 1862 1995 2230 2450 2793 2850 3122 3325 3345 3675 3990 4237 4655 4683 5575 5586 6650 6690 7350 7805 8474 9310 9366 9975 10927 11150 12711 13965 15610 16725 19950 21185 21854 23275 23415 25422 27930 29659 32781 33450 39025 42370 46550 46830 54635 59318 63555 65562 69825 78050 88977 105925 109270 117075 127110 139650 148295 163905 177954 207613 211850 234150 273175 296590 317775 327810 415226 444885 546350 622839 635550 741475 819525 889770 1038065 1245678 1482950 1639050 2076130 2224425 3114195 4448850 5190325 6228390 10380650 15570975 31141950