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41297920 = 211537109
BaseRepresentation
bin1001110110001…
…0100000000000
32212201011002121
42131202200000
541033013140
64033054024
71011012046
oct235424000
985634077
1041297920
1121347814
12119b7314
13872c551
1456b0396
15395b64a
hex2762800

41297920 has 96 divisors (see below), whose sum is σ = 102702600. Its totient is φ = 15925248.

The previous prime is 41297917. The next prime is 41297923. The reversal of 41297920 is 2979214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41297917) and next prime (41297923).

It can be written as a sum of positive squares in 4 ways, for example, as 40551424 + 746496 = 6368^2 + 864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41297923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378826 + ... + 378934.

Almost surely, 241297920 is an apocalyptic number.

41297920 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 41297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51351300).

41297920 is an abundant number, since it is smaller than the sum of its proper divisors (61404680).

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

41297920 is a wasteful number, since it uses less digits than its factorization.

41297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 41297920 is about 6426.3457734548. The cubic root of 41297920 is about 345.6549066856.

The spelling of 41297920 in words is "forty-one million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 109 128 148 160 185 218 256 296 320 370 436 512 545 592 640 740 872 1024 1090 1184 1280 1480 1744 2048 2180 2368 2560 2960 3488 4033 4360 4736 5120 5920 6976 8066 8720 9472 10240 11840 13952 16132 17440 18944 20165 23680 27904 32264 34880 37888 40330 47360 55808 64528 69760 75776 80660 94720 111616 129056 139520 161320 189440 223232 258112 279040 322640 378880 516224 558080 645280 1032448 1116160 1290560 2064896 2581120 4129792 5162240 8259584 10324480 20648960 41297920