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148220736 = 2637183131
BaseRepresentation
bin10001101010110…
…10101101000000
3101022220101121220
420311122231000
5300421030421
622412515040
73446566266
oct1065325500
9338811556
10148220736
1176737484
124177ba80
13249280a1
1415984436
15d02c3c6
hex8d5ab40

148220736 has 112 divisors (see below), whose sum is σ = 405554688. Its totient is φ = 47756800.

The previous prime is 148220687. The next prime is 148220749. The reversal of 148220736 is 637022841.

It is a junction number, because it is equal to n+sod(n) for n = 148220697 and 148220706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131391 + ... + 1131521.

It is an arithmetic number, because the mean of its divisors is an integer number (3621024).

Almost surely, 2148220736 is an apocalyptic number.

148220736 is a gapful number since it is divisible by the number (16) 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 148220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202777344).

148220736 is an abundant number, since it is smaller than the sum of its proper divisors (257333952).

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

148220736 is a wasteful number, since it uses less digits than its factorization.

148220736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 148220736 is about 12174.5938741298. The cubic root of 148220736 is about 529.2200894033.

The spelling of 148220736 in words is "one hundred forty-eight million, two hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 83 96 131 142 166 192 213 249 262 284 332 393 426 498 524 568 664 786 852 996 1048 1136 1328 1572 1704 1992 2096 2272 2656 3144 3408 3984 4192 4544 5312 5893 6288 6816 7968 8384 9301 10873 11786 12576 13632 15936 17679 18602 21746 23572 25152 27903 32619 35358 37204 43492 47144 55806 65238 70716 74408 86984 94288 111612 130476 141432 148816 173968 188576 223224 260952 282864 297632 347936 377152 446448 521904 565728 595264 695872 771983 892896 1043808 1131456 1543966 1785792 2087616 2315949 3087932 4631898 6175864 9263796 12351728 18527592 24703456 37055184 49406912 74110368 148220736