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149726720 = 2951113409
BaseRepresentation
bin10001110110010…
…10011000000000
3101102201220110002
420323022120000
5301312223340
622505055132
73465441023
oct1073123000
9342656402
10149726720
11775759a0
12421874a8
13250346c0
1415c571ba
15d228715
hex8eca600

149726720 has 160 divisors (see below), whose sum is σ = 422785440. Its totient is φ = 50135040.

The previous prime is 149726713. The next prime is 149726729. The reversal of 149726720 is 27627941.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149726729) 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, 365876 + ... + 366284.

It is an arithmetic number, because the mean of its divisors is an integer number (2642409).

Almost surely, 2149726720 is an apocalyptic number.

149726720 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 149726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392720).

149726720 is an abundant number, since it is smaller than the sum of its proper divisors (273058720).

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

149726720 is a wasteful number, since it uses less digits than its factorization.

149726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 149726720 is about 12236.2870185363. The cubic root of 149726720 is about 531.0064180677.

The spelling of 149726720 in words is "one hundred forty-nine million, seven hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 409 416 440 512 520 572 640 704 715 818 832 880 1040 1144 1280 1408 1430 1636 1664 1760 2045 2080 2288 2560 2816 2860 3272 3328 3520 4090 4160 4499 4576 5317 5632 5720 6544 6656 7040 8180 8320 8998 9152 10634 11440 13088 14080 16360 16640 17996 18304 21268 22495 22880 26176 26585 28160 32720 33280 35992 36608 42536 44990 45760 52352 53170 58487 65440 71984 73216 85072 89980 91520 104704 106340 116974 130880 143968 170144 179960 183040 209408 212680 233948 261760 287936 292435 340288 359920 366080 425360 467896 523520 575872 584870 680576 719840 850720 935792 1047040 1151744 1169740 1361152 1439680 1701440 1871584 2303488 2339480 2722304 2879360 3402880 3743168 4678960 5758720 6805760 7486336 9357920 11517440 13611520 14972672 18715840 29945344 37431680 74863360 149726720