Search a number
-
+
150074720 = 2553179383
BaseRepresentation
bin10001111000111…
…11010101100000
3101110101120210222
420330133111200
5301404342340
622520342212
73501420425
oct1074372540
9343346728
10150074720
11777933a4
1242314968
1325126c13
1415d07d4c
15d2968b5
hex8f1f560

150074720 has 96 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 57208320.

The previous prime is 150074671. The next prime is 150074723. The reversal of 150074720 is 27470051.

150074720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150074720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150074723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391649 + ... + 392031.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2150074720 is an apocalyptic number.

150074720 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 150074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

150074720 is an abundant number, since it is smaller than the sum of its proper divisors (221514400).

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

150074720 is a wasteful number, since it uses less digits than its factorization.

150074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 150074720 is about 12250.4987653565. The cubic root of 150074720 is about 531.4174942221.

The spelling of 150074720 in words is "one hundred fifty million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 79 80 124 155 158 160 248 310 316 383 395 496 620 632 766 790 992 1240 1264 1532 1580 1915 2449 2480 2528 3064 3160 3830 4898 4960 6128 6320 7660 9796 11873 12245 12256 12640 15320 19592 23746 24490 30257 30640 39184 47492 48980 59365 60514 61280 78368 94984 97960 118730 121028 151285 189968 195920 237460 242056 302570 379936 391840 474920 484112 605140 937967 949840 968224 1210280 1875934 1899680 2420560 3751868 4689835 4841120 7503736 9379670 15007472 18759340 30014944 37518680 75037360 150074720