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3870072 = 2333192341
BaseRepresentation
bin1110110000110101111000
321021121202000
432300311320
51442320242
6214541000
744616003
oct16606570
97247660
103870072
112203708
121367760
13a566ab
1472a53a
15516a4c
hex3b0d78

3870072 has 128 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1140480.

The previous prime is 3870059. The next prime is 3870073. The reversal of 3870072 is 2700783.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870073) 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, 94372 + ... + 94412.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 23870072 is an apocalyptic number.

3870072 is the 984-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3870072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3870072 is an abundant number, since it is smaller than the sum of its proper divisors (8225928).

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

3870072 is a wasteful number, since it uses less digits than its factorization.

3870072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3870072 is about 1967.2498570339. The cubic root of 3870072 is about 157.0024206153.

The spelling of 3870072 in words is "three million, eight hundred seventy thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 41 46 54 57 69 72 76 82 92 108 114 123 138 152 164 171 184 207 216 228 246 276 328 342 369 414 437 456 492 513 552 621 684 738 779 828 874 943 984 1026 1107 1242 1311 1368 1476 1558 1656 1748 1886 2052 2214 2337 2484 2622 2829 2952 3116 3496 3772 3933 4104 4428 4674 4968 5244 5658 6232 7011 7544 7866 8487 8856 9348 10488 11316 11799 14022 15732 16974 17917 18696 21033 22632 23598 25461 28044 31464 33948 35834 42066 47196 50922 53751 56088 67896 71668 84132 94392 101844 107502 143336 161253 168264 203688 215004 322506 430008 483759 645012 967518 1290024 1935036 3870072