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154140840 = 23335720389
BaseRepresentation
bin10010011000000…
…00000010101000
3101202001011111000
421030000002220
5303430001330
623143435000
73551114130
oct1114000250
9352034430
10154140840
117a010327
1243755a60
1325c1b8c9
1416685ac0
15d7eb560
hex93000a8

154140840 has 128 divisors (see below), whose sum is σ = 587232000. Its totient is φ = 35230464.

The previous prime is 154140827. The next prime is 154140841. The reversal of 154140840 is 48041451.

It is a happy number.

154140840 is a `hidden beast` number, since 1 + 541 + 40 + 84 + 0 = 666.

It is a super-4 number, since 4×1541408404 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (154140841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2635 + ... + 17754.

It is an arithmetic number, because the mean of its divisors is an integer number (4587750).

Almost surely, 2154140840 is an apocalyptic number.

154140840 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 154140840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293616000).

154140840 is an abundant number, since it is smaller than the sum of its proper divisors (433091160).

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

154140840 is a wasteful number, since it uses less digits than its factorization.

154140840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20416 (or 20406 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 154140840 is about 12415.3469544753. The cubic root of 154140840 is about 536.1741934017.

The spelling of 154140840 in words is "one hundred fifty-four million, one hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 20389 40778 61167 81556 101945 122334 142723 163112 183501 203890 244668 285446 305835 367002 407780 428169 489336 550503 570892 611670 713615 734004 815560 856338 917505 1101006 1141784 1223340 1284507 1427230 1468008 1712676 1835010 2140845 2202012 2446680 2569014 2752515 2854460 3425352 3670020 3853521 4281690 4404024 5138028 5505030 5708920 6422535 7340040 7707042 8563380 10276056 11010060 12845070 15414084 17126760 19267605 22020120 25690140 30828168 38535210 51380280 77070420 154140840