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41401620 = 223251321361
BaseRepresentation
bin1001110111101…
…1110100010100
32212220102100100
42131323310110
541044322440
64035214100
71011623301
oct235736424
985812310
1041401620
1121408717
1211a47330
138767800
1456da0a8
15397c230
hex277bd14

41401620 has 108 divisors (see below), whose sum is σ = 136088316. Its totient is φ = 10183680.

The previous prime is 41401603. The next prime is 41401621. The reversal of 41401620 is 2610414.

41401620 is a `hidden beast` number, since 4 + 1 + 40 + 1 + 620 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14837904 + 26563716 = 3852^2 + 5154^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41401593 and 41401602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41401621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29740 + ... + 31100.

It is an arithmetic number, because the mean of its divisors is an integer number (1260077).

Almost surely, 241401620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41401620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68044158).

41401620 is an abundant number, since it is smaller than the sum of its proper divisors (94686696).

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

41401620 is a wasteful number, since it uses less digits than its factorization.

41401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41401620 is about 6434.4090637758. The cubic root of 41401620 is about 345.9439805951.

The spelling of 41401620 in words is "forty-one million, four hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1361 1521 1690 2028 2340 2535 2722 3042 3380 4083 5070 5444 6084 6805 7605 8166 10140 12249 13610 15210 16332 17693 20415 24498 27220 30420 35386 40830 48996 53079 61245 70772 81660 88465 106158 122490 159237 176930 212316 230009 244980 265395 318474 353860 460018 530790 636948 690027 796185 920036 1061580 1150045 1380054 1592370 2070081 2300090 2760108 3184740 3450135 4140162 4600180 6900270 8280324 10350405 13800540 20700810 41401620