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153450440 = 2351113139193
BaseRepresentation
bin10010010010101…
…11011111001000
3101200202002102122
421021113133020
5303240403230
623120550412
73542210243
oct1111273710
9350662378
10153450440
1179689650
1243482408
1325a395a0
141654625a
15d711be5
hex92577c8

153450440 has 128 divisors (see below), whose sum is σ = 410659200. Its totient is φ = 50872320.

The previous prime is 153450421. The next prime is 153450467. The reversal of 153450440 is 44054351.

153450440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794984 + ... + 795176.

It is an arithmetic number, because the mean of its divisors is an integer number (3208275).

Almost surely, 2153450440 is an apocalyptic number.

153450440 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 153450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205329600).

153450440 is an abundant number, since it is smaller than the sum of its proper divisors (257208760).

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

153450440 is a wasteful number, since it uses less digits than its factorization.

153450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 153450440 is about 12387.5114530724. The cubic root of 153450440 is about 535.3724834941.

The spelling of 153450440 in words is "one hundred fifty-three million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 139 143 193 220 260 278 286 386 440 520 556 572 695 715 772 965 1112 1144 1390 1430 1529 1544 1807 1930 2123 2509 2780 2860 3058 3614 3860 4246 5018 5560 5720 6116 7228 7645 7720 8492 9035 10036 10615 12232 12545 14456 15290 16984 18070 19877 20072 21230 25090 26827 27599 30580 36140 39754 42460 50180 53654 55198 61160 72280 79508 84920 99385 100360 107308 110396 134135 137995 159016 198770 214616 220792 268270 275990 295097 348751 397540 536540 551980 590194 697502 795080 1073080 1103960 1180388 1395004 1475485 1743755 2360776 2790008 2950970 3487510 3836261 5901940 6975020 7672522 11803880 13950040 15345044 19181305 30690088 38362610 76725220 153450440