Search a number
-
+
151798374 = 23472131471
BaseRepresentation
bin10010000110001…
…00001001100110
3101120122011020000
421003010021212
5302330021444
623021322130
73522156600
oct1103041146
9346564200
10151798374
1178760402
1242a06346
13255ab630
1416236170
15d4d7469
hex90c4266

151798374 has 120 divisors (see below), whose sum is σ = 426400128. Its totient is φ = 40007520.

The previous prime is 151798373. The next prime is 151798379. The reversal of 151798374 is 473897151.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (211680) is a multiple of the sum of its prime factors (1512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151798373) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102459 + ... + 103929.

Almost surely, 2151798374 is an apocalyptic number.

151798374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151798374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213200064).

151798374 is an abundant number, since it is smaller than the sum of its proper divisors (274601754).

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

151798374 is a wasteful number, since it uses less digits than its factorization.

151798374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1496 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 151798374 is about 12320.6482783983. The cubic root of 151798374 is about 533.4442520172. Note that the first 3 decimals are identical.

The spelling of 151798374 in words is "one hundred fifty-one million, seven hundred ninety-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1471 1638 1911 2106 2457 2646 2942 3822 3969 4413 4914 5733 7371 7938 8826 10297 11466 13239 14742 17199 19123 20594 26478 30891 34398 38246 39717 51597 57369 61782 72079 79434 92673 103194 114738 119151 133861 144158 172107 185346 216237 238302 267722 278019 344214 401583 432474 516321 556038 648711 803166 834057 937027 1032642 1204749 1297422 1548963 1668114 1874054 1946133 2409498 2811081 3097926 3614247 3892266 5622162 5838399 7228494 8433243 10842741 11676798 16866486 21685482 25299729 50599458 75899187 151798374