Search a number
-
+
147010680 = 23335314391
BaseRepresentation
bin10001100001100…
…11010001111000
3101020121220202000
420300303101320
5300113320210
622330541000
73433366365
oct1060632170
9336556660
10147010680
1175a90333
1241297760
13245c338b
141574b46c
15cd8dac0
hex8c33478

147010680 has 128 divisors (see below), whose sum is σ = 505958400. Its totient is φ = 37929600.

The previous prime is 147010673. The next prime is 147010691. The reversal of 147010680 is 86010741.

It is a happy number.

It is a super-2 number, since 2×1470106802 = 43224280068124800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31285 + ... + 35675.

It is an arithmetic number, because the mean of its divisors is an integer number (3952800).

Almost surely, 2147010680 is an apocalyptic number.

147010680 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 147010680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).

147010680 is an abundant number, since it is smaller than the sum of its proper divisors (358947720).

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

147010680 is a wasteful number, since it uses less digits than its factorization.

147010680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 147010680 is about 12124.7960807595. The cubic root of 147010680 is about 527.7759896851.

The spelling of 147010680 in words is "one hundred forty-seven million, ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 4391 5580 6696 8370 8782 11160 13173 16740 17564 21955 26346 33480 35128 39519 43910 52692 65865 79038 87820 105384 118557 131730 136121 158076 175640 197595 237114 263460 272242 316152 395190 408363 474228 526920 544484 592785 680605 790380 816726 948456 1088968 1185570 1225089 1361210 1580760 1633452 2041815 2371140 2450178 2722420 3266904 3675267 4083630 4742280 4900356 5444840 6125445 7350534 8167260 9800712 12250890 14701068 16334520 18376335 24501780 29402136 36752670 49003560 73505340 147010680