Search a number
-
+
72694260 = 22345231951
BaseRepresentation
bin1000101010100…
…11100111110100
312001210020210000
410111103213310
5122102204020
611114031300
71541614422
oct425234764
9161706700
1072694260
1138041301
1220418530
13120a2c72
149924112
1565ae090
hex45539f4

72694260 has 120 divisors (see below), whose sum is σ = 238081536. Its totient is φ = 18532800.

The previous prime is 72694231. The next prime is 72694267. The reversal of 72694260 is 6249627.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72694267) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36285 + ... + 38235.

Almost surely, 272694260 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 72694260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040768).

72694260 is an abundant number, since it is smaller than the sum of its proper divisors (165387276).

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

72694260 is a wasteful number, since it uses less digits than its factorization.

72694260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72694260 is about 8526.0928918233. The cubic root of 72694260 is about 417.3496368901.

The spelling of 72694260 in words is "seventy-two million, six hundred ninety-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 1951 2070 2484 3105 3726 3902 4140 5853 6210 7452 7804 9315 9755 11706 12420 17559 18630 19510 23412 29265 35118 37260 39020 44873 52677 58530 70236 87795 89746 105354 117060 134619 158031 175590 179492 210708 224365 263385 269238 316062 351180 403857 448730 526770 538476 632124 673095 790155 807714 897460 1053540 1211571 1346190 1580310 1615428 2019285 2423142 2692380 3160620 3634713 4038570 4846284 6057855 7269426 8077140 12115710 14538852 18173565 24231420 36347130 72694260