Search a number
-
+
375205740 = 223572139817
BaseRepresentation
bin10110010111010…
…010111101101100
3222011000102111220
4112113102331230
51232023040430
6101121543340
712204124200
oct2627227554
9864012456
10375205740
11182880698
12a57a4b50
135c96cc40
1437b8cb00
1522e17110
hex165d2f6c

375205740 has 144 divisors (see below), whose sum is σ = 1316240352. Its totient is φ = 79156224.

The previous prime is 375205717. The next prime is 375205763. The reversal of 375205740 is 47502573.

375205740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (375205717) and next prime (375205763).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33312 + ... + 43128.

It is an arithmetic number, because the mean of its divisors is an integer number (9140558).

Almost surely, 2375205740 is an apocalyptic number.

375205740 is a gapful number since it is divisible by the number (30) 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 375205740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658120176).

375205740 is an abundant number, since it is smaller than the sum of its proper divisors (941034612).

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

375205740 is a wasteful number, since it uses less digits than its factorization.

375205740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 375205740 is about 19370.2281865754. The cubic root of 375205740 is about 721.2566403437.

The spelling of 375205740 in words is "three hundred seventy-five million, two hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 9817 12740 19110 19634 29451 38220 39268 49085 58902 68719 98170 117804 127621 137438 147255 196340 206157 255242 274876 294510 343595 382863 412314 481033 510484 589020 638105 687190 765726 824628 893347 962066 1030785 1276210 1374380 1443099 1531452 1786694 1914315 1924132 2061570 2405165 2552420 2680041 2886198 3573388 3828630 4123140 4466735 4810330 5360082 5772396 6253429 7215495 7657260 8933470 9620660 10720164 12506858 13400205 14430990 17866940 18760287 25013716 26800410 28861980 31267145 37520574 53600820 62534290 75041148 93801435 125068580 187602870 375205740