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150244020 = 2232519197223
BaseRepresentation
bin10001111010010…
…00101010110100
3101110201012001100
420331020222310
5301430302040
622524130100
73503024133
oct1075105264
9343635040
10150244020
1177899613
1242396930
1325185cb4
1415d4d91a
15d2cbb30
hex8f48ab4

150244020 has 144 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 37594368.

The previous prime is 150244019. The next prime is 150244043. The reversal of 150244020 is 20442051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150243984 and 150244002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673629 + ... + 673851.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2150244020 is an apocalyptic number.

150244020 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 150244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

150244020 is an abundant number, since it is smaller than the sum of its proper divisors (334079820).

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

150244020 is a wasteful number, since it uses less digits than its factorization.

150244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150244020 is about 12257.4067404162. The cubic root of 150244020 is about 531.6172506534.

Adding to 150244020 its reverse (20442051), we get a palindrome (170686071).

It can be divided in two parts, 15024 and 4020, that added together give a square (19044 = 1382).

The spelling of 150244020 in words is "one hundred fifty million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 197 223 228 285 342 380 394 446 570 591 669 684 788 855 892 985 1115 1140 1182 1338 1710 1773 1970 2007 2230 2364 2676 2955 3345 3420 3546 3743 3940 4014 4237 4460 5910 6690 7092 7486 8028 8474 8865 10035 11229 11820 12711 13380 14972 16948 17730 18715 20070 21185 22458 25422 33687 35460 37430 38133 40140 42370 43931 44916 50844 56145 63555 67374 74860 76266 84740 87862 112290 127110 131793 134748 152532 168435 175724 190665 219655 224580 254220 263586 336870 381330 395379 439310 527172 658965 673740 762660 790758 834689 878620 1317930 1581516 1669378 1976895 2504067 2635860 3338756 3953790 4173445 5008134 7512201 7907580 8346890 10016268 12520335 15024402 16693780 25040670 30048804 37561005 50081340 75122010 150244020