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641544420 = 223511297911
BaseRepresentation
bin100110001111010…
…011000011100100
31122201011211111110
4212033103003210
52303213410140
6143354305020
721620015616
oct4617230344
91581154443
10641544420
112aa153900
1215aa28170
13a2bb33aa
14612bcdb6
153b4c7380
hex263d30e4

641544420 has 144 divisors (see below), whose sum is σ = 1997017344. Its totient is φ = 153753600.

The previous prime is 641544403. The next prime is 641544479. The reversal of 641544420 is 24445146.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703765 + ... + 704675.

It is an arithmetic number, because the mean of its divisors is an integer number (13868176).

Almost surely, 2641544420 is an apocalyptic number.

641544420 is a gapful number since it is divisible by the number (60) 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 641544420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998508672).

641544420 is an abundant number, since it is smaller than the sum of its proper divisors (1355472924).

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

641544420 is a wasteful number, since it uses less digits than its factorization.

641544420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 641544420 is about 25328.7271689677. The cubic root of 641544420 is about 862.4665174988.

Adding to 641544420 its reverse (24445146), we get a palindrome (665989566).

The spelling of 641544420 in words is "six hundred forty-one million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 121 132 165 194 220 242 291 330 363 388 484 485 582 605 660 726 911 970 1067 1164 1210 1452 1455 1815 1822 1940 2134 2420 2733 2910 3201 3630 3644 4268 4555 5335 5466 5820 6402 7260 9110 10021 10670 10932 11737 12804 13665 16005 18220 20042 21340 23474 27330 30063 32010 35211 40084 46948 50105 54660 58685 60126 64020 70422 88367 100210 110231 117370 120252 140844 150315 176055 176734 200420 220462 234740 265101 300630 330693 352110 353468 440924 441835 530202 551155 601260 661386 704220 883670 972037 1060404 1102310 1322772 1325505 1653465 1767340 1944074 2204620 2651010 2916111 3306930 3888148 4860185 5302020 5832222 6613860 9720370 10692407 11664444 14580555 19440740 21384814 29161110 32077221 42769628 53462035 58322220 64154442 106924070 128308884 160386105 213848140 320772210 641544420