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140043072 = 26313192953
BaseRepresentation
bin10000101100011…
…10001101000000
3100202111220222110
420112032031000
5241322334242
621521335320
73320226561
oct1026161500
9322456873
10140043072
1172061484
123aa97540
1323023b30
1414856168
15c46439c
hex858e340

140043072 has 112 divisors (see below), whose sum is σ = 420176960. Its totient is φ = 40808448.

The previous prime is 140043037. The next prime is 140043073. The reversal of 140043072 is 270340041.

It is a super-2 number, since 2×1400430722 = 39224124030394368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140043073) 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, 45948 + ... + 48900.

It is an arithmetic number, because the mean of its divisors is an integer number (3751580).

Almost surely, 2140043072 is an apocalyptic number.

140043072 is a gapful number since it is divisible by the number (12) 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 140043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210088480).

140043072 is an abundant number, since it is smaller than the sum of its proper divisors (280133888).

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

140043072 is a wasteful number, since it uses less digits than its factorization.

140043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 140043072 is about 11833.9795504302. The cubic root of 140043072 is about 519.3026549884.

The spelling of 140043072 in words is "one hundred forty million, forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2953 2964 3648 3952 5906 5928 7904 8859 11812 11856 15808 17718 23624 23712 35436 38389 47248 47424 56107 70872 76778 94496 112214 115167 141744 153556 168321 188992 224428 230334 283488 307112 336642 448856 460668 566976 614224 673284 729391 897712 921336 1228448 1346568 1458782 1795424 1842672 2188173 2456896 2693136 2917564 3590848 3685344 4376346 5386272 5835128 7370688 8752692 10772544 11670256 17505384 23340512 35010768 46681024 70021536 140043072