Search a number
-
+
151506108 = 22321317137139
BaseRepresentation
bin10010000011111…
…00110010111100
3101120002022022100
421001330302330
5302241143413
623011145100
73516531525
oct1101746274
9346068270
10151506108
1178580866
12428a5190
13255085b0
141619b84c
15d47aa73
hex907ccbc

151506108 has 144 divisors (see below), whose sum is σ = 443046240. Its totient is φ = 43241472.

The previous prime is 151506107. The next prime is 151506109. The reversal of 151506108 is 801605151.

151506108 is a `hidden beast` number, since 1 + 51 + 506 + 108 = 666.

151506108 is digitally balanced in base 2, 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 (151506107) and next prime (151506109).

It is a super-2 number, since 2×1515061082 = 45908201522615328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151506107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089903 + ... + 1090041.

It is an arithmetic number, because the mean of its divisors is an integer number (3076710).

Almost surely, 2151506108 is an apocalyptic number.

151506108 is a gapful number since it is divisible by the number (18) 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 151506108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221523120).

151506108 is an abundant number, since it is smaller than the sum of its proper divisors (291540132).

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

151506108 is a wasteful number, since it uses less digits than its factorization.

151506108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 151506108 is about 12308.7817431296. The cubic root of 151506108 is about 533.1016752599.

The spelling of 151506108 in words is "one hundred fifty-one million, five hundred six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 137 139 153 156 204 221 234 274 278 306 411 417 442 468 548 556 612 663 822 834 884 1233 1251 1326 1644 1668 1781 1807 1989 2329 2363 2466 2502 2652 3562 3614 3978 4658 4726 4932 5004 5343 5421 6987 7089 7124 7228 7956 9316 9452 10686 10842 13974 14178 16029 16263 19043 20961 21267 21372 21684 27948 28356 30277 30719 32058 32526 38086 41922 42534 57129 60554 61438 64116 65052 76172 83844 85068 90831 92157 114258 121108 122876 171387 181662 184314 228516 247559 272493 276471 323731 342774 363324 368628 495118 544986 552942 647462 685548 742677 971193 990236 1089972 1105884 1294924 1485354 1942386 2228031 2913579 2970708 3884772 4208503 4456062 5827158 8417006 8912124 11654316 12625509 16834012 25251018 37876527 50502036 75753054 151506108