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148924160 = 2857111511
BaseRepresentation
bin10001110000001…
…10011100000000
3101101020010112122
420320012130000
5301111033120
622435543412
73455556140
oct1070063400
9341203478
10148924160
1177077a20
1241a5ab68
1324b13308
1415ac8920
15d11aa25
hex8e06700

148924160 has 144 divisors (see below), whose sum is σ = 445036032. Its totient is φ = 46387200.

The previous prime is 148924157. The next prime is 148924163. The reversal of 148924160 is 61429841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148924157) and next prime (148924163).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 148924160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148924163) 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, 97805 + ... + 99315.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2148924160 is an apocalyptic number.

148924160 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 148924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222518016).

148924160 is an abundant number, since it is smaller than the sum of its proper divisors (296111872).

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

148924160 is a wasteful number, since it uses less digits than its factorization.

148924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 148924160 is about 12203.4486928901. The cubic root of 148924160 is about 530.0559570680.

The spelling of 148924160 in words is "one hundred forty-eight million, nine hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1511 1540 1760 1792 2240 2464 2816 3022 3080 3520 4480 4928 6044 6160 7040 7555 8960 9856 10577 12088 12320 14080 15110 16621 19712 21154 24176 24640 30220 33242 42308 48352 49280 52885 60440 66484 83105 84616 96704 98560 105770 116347 120880 132968 166210 169232 193408 211540 232694 241760 265936 332420 338464 386816 423080 465388 483520 531872 581735 664840 676928 846160 930776 967040 1063744 1163470 1329680 1353856 1692320 1861552 1934080 2127488 2326940 2659360 2707712 3384640 3723104 4254976 4653880 5318720 6769280 7446208 9307760 10637440 13538560 14892416 18615520 21274880 29784832 37231040 74462080 148924160