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154040640 = 26351312343
BaseRepresentation
bin10010010111001…
…11100101000000
3101201212002000220
421023213211000
5303413300030
623141343040
73550216035
oct1113474500
9351762026
10154040640
1179a52016
1243707a80
1325bb5110
141665b38c
15d7cba10
hex92e7940

154040640 has 112 divisors (see below), whose sum is σ = 526743168. Its totient is φ = 37914624.

The previous prime is 154040639. The next prime is 154040641. The reversal of 154040640 is 46040451.

It is an interprime number because it is at equal distance from previous prime (154040639) and next prime (154040641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 154040640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154040641) 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, 6309 + ... + 18651.

It is an arithmetic number, because the mean of its divisors is an integer number (4703064).

Almost surely, 2154040640 is an apocalyptic number.

154040640 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 154040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263371584).

154040640 is an abundant number, since it is smaller than the sum of its proper divisors (372702528).

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

154040640 is a wasteful number, since it uses less digits than its factorization.

154040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12376 (or 12366 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 154040640 is about 12411.3109702400. The cubic root of 154040640 is about 536.0579873404.

The spelling of 154040640 in words is "one hundred fifty-four million, forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12343 12480 24686 37029 49372 61715 74058 98744 123430 148116 160459 185145 197488 246860 296232 320918 370290 394976 481377 493720 592464 641836 740580 789952 802295 962754 987440 1184928 1283672 1481160 1604590 1925508 1974880 2369856 2406885 2567344 2962320 3209180 3851016 3949760 4813770 5134688 5924640 6418360 7702032 9627540 10269376 11849280 12836720 15404064 19255080 25673440 30808128 38510160 51346880 77020320 154040640