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41403960 = 2334513983
BaseRepresentation
bin1001110111110…
…0011000111000
32212220112120000
42131330120320
541044411320
64035233000
71011633153
oct235743070
985815500
1041403960
112140a454
1211a48760
1387688b0
1456dac9a
15397cc90
hex277c638

41403960 has 160 divisors (see below), whose sum is σ = 150020640. Its totient is φ = 10181376.

The previous prime is 41403949. The next prime is 41403961. The reversal of 41403960 is 6930414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41403961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41629 + ... + 42611.

It is an arithmetic number, because the mean of its divisors is an integer number (937629).

Almost surely, 241403960 is an apocalyptic number.

41403960 is a gapful number since it is divisible by the number (40) 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 41403960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010320).

41403960 is an abundant number, since it is smaller than the sum of its proper divisors (108616680).

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

41403960 is a wasteful number, since it uses less digits than its factorization.

41403960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 41403960 is about 6434.5908960866. The cubic root of 41403960 is about 345.9504980024.

It can be divided in two parts, 4140 and 3960, that added together give a square (8100 = 902).

The spelling of 41403960 in words is "forty-one million, four hundred three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 983 1053 1080 1170 1404 1560 1620 1755 1966 2106 2340 2808 2949 3240 3510 3932 4212 4680 4915 5265 5898 7020 7864 8424 8847 9830 10530 11796 12779 14040 14745 17694 19660 21060 23592 25558 26541 29490 35388 38337 39320 42120 44235 51116 53082 58980 63895 70776 76674 79623 88470 102232 106164 115011 117960 127790 132705 153348 159246 176940 191685 212328 230022 255580 265410 306696 318492 345033 353880 383370 398115 460044 511160 530820 575055 636984 690066 766740 796230 920088 1035099 1061640 1150110 1380132 1533480 1592460 1725165 2070198 2300220 2760264 3184920 3450330 4140396 4600440 5175495 6900660 8280792 10350990 13801320 20701980 41403960