Search a number
-
+
1464960 = 27357109
BaseRepresentation
bin101100101101010000000
32202102112210
411211222000
5333334320
651222120
715311010
oct5455200
92672483
101464960
11910712
125a7940
133c3a53
142a1c40
151de0e0
hex165a80

1464960 has 128 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 331776.

The previous prime is 1464959. The next prime is 1464961. The reversal of 1464960 is 694641.

It is an interprime number because it is at equal distance from previous prime (1464959) and next prime (1464961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14649602 = 4292215603200, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464961) 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, 13386 + ... + 13494.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

21464960 is an apocalyptic number.

1464960 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 1464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

1464960 is an abundant number, since it is smaller than the sum of its proper divisors (3920640).

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

1464960 is a wasteful number, since it uses less digits than its factorization.

1464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1464960 is about 1210.3553197305. The cubic root of 1464960 is about 113.5730412786.

The spelling of 1464960 in words is "one million, four hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 109 112 120 128 140 160 168 192 210 218 224 240 280 320 327 336 384 420 436 448 480 545 560 640 654 672 763 840 872 896 960 1090 1120 1308 1344 1526 1635 1680 1744 1920 2180 2240 2289 2616 2688 3052 3270 3360 3488 3815 4360 4480 4578 5232 6104 6540 6720 6976 7630 8720 9156 10464 11445 12208 13080 13440 13952 15260 17440 18312 20928 22890 24416 26160 30520 34880 36624 41856 45780 48832 52320 61040 69760 73248 91560 97664 104640 122080 146496 183120 209280 244160 292992 366240 488320 732480 1464960