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151873540 = 22573132131
BaseRepresentation
bin10010000110101…
…10100000000100
3101120202222022221
421003112200010
5302334423130
623023102124
73522622000
oct1103264004
9346688287
10151873540
1178801925
1242a41944
1325606900
1416255700
15d4ee87a
hex90d6804

151873540 has 144 divisors (see below), whose sum is σ = 405820800. Its totient is φ = 47698560.

The previous prime is 151873511. The next prime is 151873543. The reversal of 151873540 is 45378151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 151873496 and 151873505.

It is not an unprimeable number, because it can be changed into a prime (151873543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159275 + ... + 1159405.

It is an arithmetic number, because the mean of its divisors is an integer number (2818200).

Almost surely, 2151873540 is an apocalyptic number.

151873540 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 151873540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202910400).

151873540 is an abundant number, since it is smaller than the sum of its proper divisors (253947260).

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

151873540 is a wasteful number, since it uses less digits than its factorization.

151873540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 151873540 is about 12323.6983085436. The cubic root of 151873540 is about 533.5322860173.

The spelling of 151873540 in words is "one hundred fifty-one million, eight hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 131 140 169 182 196 245 260 262 338 343 364 455 490 524 637 655 676 686 845 910 917 980 1183 1274 1310 1372 1690 1703 1715 1820 1834 2366 2548 2620 3185 3380 3406 3430 3668 4459 4585 4732 5915 6370 6419 6812 6860 8281 8515 8918 9170 11830 11921 12740 12838 16562 17030 17836 18340 22139 22295 23660 23842 25676 32095 33124 34060 41405 44278 44590 44933 47684 57967 59605 64190 82810 83447 88556 89180 89866 110695 115934 119210 128380 154973 165620 166894 179732 221390 224665 231868 238420 289835 309946 333788 417235 442780 449330 579670 584129 619892 774865 834470 898660 1084811 1159340 1168258 1549730 1668940 2169622 2336516 2920645 3099460 4339244 5424055 5841290 7593677 10848110 11682580 15187354 21696220 30374708 37968385 75936770 151873540