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150816204 = 2232711411327
BaseRepresentation
bin10001111110101…
…00010111001100
3101111210020221100
420333110113030
5302102104304
622544303100
73510626250
oct1077242714
9344706840
10150816204
117814a4a0
1242611a90
1325326576
141605c260
15d391439
hex8fd45cc

150816204 has 144 divisors (see below), whose sum is σ = 487259136. Its totient is φ = 38188800.

The previous prime is 150816203. The next prime is 150816247. The reversal of 150816204 is 402618051.

It is not an unprimeable number, because it can be changed into a prime (150816203) 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, 112989 + ... + 114315.

It is an arithmetic number, because the mean of its divisors is an integer number (3383744).

Almost surely, 2150816204 is an apocalyptic number.

150816204 is a gapful number since it is divisible by the number (14) 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 150816204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243629568).

150816204 is an abundant number, since it is smaller than the sum of its proper divisors (336442932).

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

150816204 is a wasteful number, since it uses less digits than its factorization.

150816204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150816204 is about 12280.7248971712. The cubic root of 150816204 is about 532.2912598495.

The spelling of 150816204 in words is "one hundred fifty million, eight hundred sixteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1327 1353 1386 1476 1722 1804 2583 2654 2706 2772 3157 3444 3981 4059 5166 5308 5412 6314 7962 8118 9289 9471 10332 11943 12628 14597 15924 16236 18578 18942 23886 27867 28413 29194 37156 37884 43791 47772 54407 55734 56826 58388 83601 87582 102179 108814 111468 113652 131373 163221 167202 175164 204358 217628 262746 306537 326442 334404 380849 408716 489663 525492 598477 613074 652884 761698 919611 979326 1142547 1196954 1226148 1523396 1795431 1839222 1958652 2285094 2393908 3427641 3590862 3678444 4189339 4570188 5386293 6855282 7181724 8378678 10772586 12568017 13710564 16757356 21545172 25136034 37704051 50272068 75408102 150816204