Search a number
-
+
150673644 = 2232112371233
BaseRepresentation
bin10001111101100…
…01100011101100
3101111112000101100
420332301203230
5302033024034
622541243100
73506463522
oct1076614354
9344460340
10150673644
1178062380
1242563490
13252a6704
1416022312
15d364099
hex8fb18ec

150673644 has 144 divisors (see below), whose sum is σ = 441552384. Its totient is φ = 42873600.

The previous prime is 150673577. The next prime is 150673651. The reversal of 150673644 is 446376051.

It is a happy number.

150673644 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 7 + 3 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150673599 and 150673608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646552 + ... + 646784.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2150673644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150673644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

150673644 is an abundant number, since it is smaller than the sum of its proper divisors (290878740).

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

150673644 is a wasteful number, since it uses less digits than its factorization.

150673644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 150673644 is about 12274.9193072704. The cubic root of 150673644 is about 532.1234897153.

The spelling of 150673644 in words is "one hundred fifty million, six hundred seventy-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 71 92 99 132 138 142 198 207 213 233 253 276 284 396 414 426 466 506 639 699 759 781 828 852 932 1012 1278 1398 1518 1562 1633 2097 2277 2343 2556 2563 2796 3036 3124 3266 4194 4554 4686 4899 5126 5359 6532 7029 7689 8388 9108 9372 9798 10252 10718 14058 14697 15378 16077 16543 17963 19596 21436 23067 28116 29394 30756 32154 33086 35926 46134 48231 49629 53889 58788 58949 64308 66172 71852 92268 96462 99258 107778 117898 148887 161667 176847 181973 192924 198516 215556 235796 297774 323334 353694 363946 380489 530541 545919 595548 646668 707388 727892 760978 1061082 1091838 1141467 1521956 1637757 2122164 2183676 2282934 3275514 3424401 4185379 4565868 6551028 6848802 8370758 12556137 13697604 16741516 25112274 37668411 50224548 75336822 150673644