Search a number
-
+
41321840 = 2457113653
BaseRepresentation
bin1001110110100…
…0010101110000
32212202100220112
42131220111300
541034244330
64033400452
71011141560
oct235502560
985670815
1041321840
112136378a
1211a09128
13873a3c1
1456b8da0
153963795
hex2768570

41321840 has 80 divisors (see below), whose sum is σ = 110939328. Its totient is φ = 14020608.

The previous prime is 41321837. The next prime is 41321843. The reversal of 41321840 is 4812314.

It is an interprime number because it is at equal distance from previous prime (41321837) and next prime (41321843).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41321843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62954 + ... + 63606.

Almost surely, 241321840 is an apocalyptic number.

41321840 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 41321840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55469664).

41321840 is an abundant number, since it is smaller than the sum of its proper divisors (69617488).

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

41321840 is a wasteful number, since it uses less digits than its factorization.

41321840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 41321840 is about 6428.2065928220. The cubic root of 41321840 is about 345.7216289287.

The spelling of 41321840 in words is "forty-one million, three hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 653 791 904 1130 1306 1582 1808 2260 2612 3164 3265 3955 4520 4571 5224 6328 6530 7910 9040 9142 10448 12656 13060 15820 18284 22855 26120 31640 36568 45710 52240 63280 73136 73789 91420 147578 182840 295156 365680 368945 516523 590312 737890 1033046 1180624 1475780 2066092 2582615 2951560 4132184 5165230 5903120 8264368 10330460 20660920 41321840