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70024320 = 2732512157
BaseRepresentation
bin1000010110001…
…11110010000000
311212202121022100
410023013302000
5120411234240
610540510400
71510124352
oct413076200
9155677270
1070024320
1136588343
121b54b400
1311679912
14942b0d2
156232e30
hex42c7c80

70024320 has 96 divisors (see below), whose sum is σ = 241822620. Its totient is φ = 18671616.

The previous prime is 70024303. The next prime is 70024333. The reversal of 70024320 is 2342007.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 8433216 = 7848^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 70024293 and 70024302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319 + ... + 11838.

Almost surely, 270024320 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 70024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120911310).

70024320 is an abundant number, since it is smaller than the sum of its proper divisors (171798300).

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

70024320 is a wasteful number, since it uses less digits than its factorization.

70024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 70024320 is about 8368.0535371136. The cubic root of 70024320 is about 412.1762528633.

Adding to 70024320 its reverse (2342007), we get a palindrome (72366327).

The spelling of 70024320 in words is "seventy million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 12157 24314 36471 48628 60785 72942 97256 109413 121570 145884 182355 194512 218826 243140 291768 364710 389024 437652 486280 547065 583536 729420 778048 875304 972560 1094130 1167072 1458840 1556096 1750608 1945120 2188260 2334144 2917680 3501216 3890240 4376520 4668288 5835360 7002432 7780480 8753040 11670720 14004864 17506080 23341440 35012160 70024320