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150555420 = 223251077817
BaseRepresentation
bin10001111100101…
…00101100011100
3101111022000012200
420332110230130
5302020233140
622534531500
73505462041
oct1076245434
9344260180
10150555420
1177a91574
1242506b90
1325264962
1415dd11c8
15d33e030
hex8f94b1c

150555420 has 72 divisors (see below), whose sum is σ = 461011824. Its totient is φ = 39767808.

The previous prime is 150555397. The next prime is 150555469. The reversal of 150555420 is 24555051.

150555420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15352 + ... + 23168.

It is an arithmetic number, because the mean of its divisors is an integer number (6402942).

Almost surely, 2150555420 is an apocalyptic number.

150555420 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 150555420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230505912).

150555420 is an abundant number, since it is smaller than the sum of its proper divisors (310456404).

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

150555420 is a wasteful number, since it uses less digits than its factorization.

150555420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 150555420 is about 12270.1026890568. The cubic root of 150555420 is about 531.9842788427.

It can be divided in two parts, 150555 and 420, that added together give a triangular number (150975 = T549).

The spelling of 150555420 in words is "one hundred fifty million, five hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 7817 9630 15634 19260 23451 31268 39085 46902 70353 78170 93804 117255 140706 156340 234510 281412 351765 469020 703530 836419 1407060 1672838 2509257 3345676 4182095 5018514 7527771 8364190 10037028 12546285 15055542 16728380 25092570 30111084 37638855 50185140 75277710 150555420