Search a number
-
+
1464261040 = 2451129181317
BaseRepresentation
bin101011101000110…
…1101100110110000
310210001021011112101
41113101231212300
510444322323130
6401144110144
751200004424
oct12721554660
93701234471
101464261040
1169159aaa0
1234a465354
131a448b068
14dc67cb84
158883a1ca
hex5746d9b0

1464261040 has 160 divisors (see below), whose sum is σ = 3875376960. Its totient is φ = 509644800.

The previous prime is 1464261023. The next prime is 1464261041. The reversal of 1464261040 is 401624641.

It is not an unprimeable number, because it can be changed into a prime (1464261041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4618962 + ... + 4619278.

It is an arithmetic number, because the mean of its divisors is an integer number (24221106).

Almost surely, 21464261040 is an apocalyptic number.

1464261040 is a gapful number since it is divisible by the number (10) 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 1464261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937688480).

1464261040 is an abundant number, since it is smaller than the sum of its proper divisors (2411115920).

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

1464261040 is a wasteful number, since it uses less digits than its factorization.

1464261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1464261040 is about 38265.6639822178. The cubic root of 1464261040 is about 1135.5497579299.

Adding to 1464261040 its reverse (401624641), we get a palindrome (1865885681).

The spelling of 1464261040 in words is "one billion, four hundred sixty-four million, two hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 181 220 232 290 317 319 362 440 464 580 634 638 724 880 905 1160 1268 1276 1448 1585 1595 1810 1991 2320 2536 2552 2896 3170 3190 3487 3620 3982 5072 5104 5249 6340 6380 6974 7240 7964 9193 9955 10498 12680 12760 13948 14480 15928 17435 18386 19910 20996 25360 25520 26245 27896 31856 34870 36772 39820 41992 45965 52490 55792 57377 57739 69740 73544 79640 83984 91930 101123 104980 114754 115478 139480 147088 159280 183860 202246 209960 229508 230956 278960 286885 288695 367720 404492 419920 459016 461912 505615 573770 577390 631147 735440 808984 918032 923824 1011230 1147540 1154780 1262294 1617968 1663933 2022460 2295080 2309560 2524588 3155735 3327866 4044920 4590160 4619120 5049176 6311470 6655732 8089840 8319665 10098352 12622940 13311464 16639330 18303263 25245880 26622928 33278660 36606526 50491760 66557320 73213052 91516315 133114640 146426104 183032630 292852208 366065260 732130520 1464261040