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1255468320 = 253251945887
BaseRepresentation
bin100101011010100…
…1110110100100000
310020111101101202200
41022311032310200
510032344441240
6324325013200
743053206331
oct11265166440
93214341680
101255468320
11594751a27
122b0554200
13170145882
14bca4c288
1575345930
hex4ad4ed20

1255468320 has 144 divisors (see below), whose sum is σ = 4509872640. Its totient is φ = 317164032.

The previous prime is 1255468303. The next prime is 1255468337. The reversal of 1255468320 is 238645521.

1255468320 is a `hidden beast` number, since 1 + 2 + 554 + 6 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1255468303) and next prime (1255468337).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4417 + ... + 50303.

It is an arithmetic number, because the mean of its divisors is an integer number (31318560).

Almost surely, 21255468320 is an apocalyptic number.

1255468320 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 1255468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254936320).

1255468320 is an abundant number, since it is smaller than the sum of its proper divisors (3254404320).

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

1255468320 is a wasteful number, since it uses less digits than its factorization.

1255468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45927 (or 45916 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1255468320 is about 35432.5883897860. The cubic root of 1255468320 is about 1078.7858784105.

The spelling of 1255468320 in words is "one billion, two hundred fifty-five million, four hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 45887 91774 137661 183548 229435 275322 367096 412983 458870 550644 688305 734192 825966 871853 917740 1101288 1376610 1468384 1651932 1743706 1835480 2064915 2202576 2615559 2753220 3303864 3487412 3670960 4129830 4359265 4405152 5231118 5506440 6607728 6974824 7341920 7846677 8259660 8718530 10462236 11012880 13077795 13215456 13949648 15693354 16519320 17437060 20924472 22025760 26155590 27899296 31386708 33038640 34874120 39233385 41848944 52311180 62773416 66077280 69748240 78466770 83697888 104622360 125546832 139496480 156933540 209244720 251093664 313867080 418489440 627734160 1255468320