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154136640 = 2635722937
BaseRepresentation
bin10010010111111…
…11000001000000
3101202000221201110
421023333001000
5303424333030
623143403320
73551065650
oct1113770100
9352027643
10154136640
117a008159
1243753540
1325c19a18
1416684360
15d7ea1b0
hex92ff040

154136640 has 112 divisors (see below), whose sum is σ = 559320192. Its totient is φ = 35229696.

The previous prime is 154136629. The next prime is 154136659. The reversal of 154136640 is 46631451.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 154136598 and 154136607.

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, 4749 + ... + 18188.

Almost surely, 2154136640 is an apocalyptic number.

154136640 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 154136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279660096).

154136640 is an abundant number, since it is smaller than the sum of its proper divisors (405183552).

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

154136640 is a wasteful number, since it uses less digits than its factorization.

154136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22964 (or 22954 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 154136640 is about 12415.1778078286. The cubic root of 154136640 is about 536.1693235003.

The spelling of 154136640 in words is "one hundred fifty-four million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 22937 45874 68811 91748 114685 137622 160559 183496 229370 275244 321118 344055 366992 458740 481677 550488 642236 688110 733984 802795 917480 963354 1100976 1284472 1376220 1467968 1605590 1834960 1926708 2201952 2408385 2568944 2752440 3211180 3669920 3853416 4403904 4816770 5137888 5504880 6422360 7339840 7706832 9633540 10275776 11009760 12844720 15413664 19267080 22019520 25689440 30827328 38534160 51378880 77068320 154136640