Search a number
-
+
150614900 = 225217194663
BaseRepresentation
bin10001111101000…
…11001101110100
3101111102000210122
420332203031310
5302024134100
622540111112
73506130332
oct1076431564
9344360718
10150614900
1178022227
1242535498
1325285a57
1416008b52
15d351985
hex8fa3374

150614900 has 72 divisors (see below), whose sum is σ = 364351680. Its totient is φ = 53706240.

The previous prime is 150614899. The next prime is 150614909. The reversal of 150614900 is 9416051.

It is a self number, because there is not a number n which added to its sum of digits gives 150614900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150614909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29969 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (5060440).

Almost surely, 2150614900 is an apocalyptic number.

150614900 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 150614900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182175840).

150614900 is an abundant number, since it is smaller than the sum of its proper divisors (213736780).

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

150614900 is a wasteful number, since it uses less digits than its factorization.

150614900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 150614900 is about 12272.5262273095. The cubic root of 150614900 is about 532.0543267113.

The spelling of 150614900 in words is "one hundred fifty million, six hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 4663 6460 8075 9326 16150 18652 23315 32300 46630 79271 88597 93260 116575 158542 177194 233150 317084 354388 396355 442985 466300 792710 885970 1506149 1585420 1771940 1981775 2214925 3012298 3963550 4429850 6024596 7530745 7927100 8859700 15061490 30122980 37653725 75307450 150614900