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157734480 = 243529131173
BaseRepresentation
bin10010110011011…
…01011001010000
3101222210202000210
421121231121100
5310340000410
623352444120
73623502201
oct1131553120
9358722023
10157734480
1181045282
12449a9640
13268a9517
1416d3d5a8
15dcab220
hex966d650

157734480 has 160 divisors (see below), whose sum is σ = 512645760. Its totient is φ = 40069120.

The previous prime is 157734457. The next prime is 157734487. The reversal of 157734480 is 84437751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157734487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911674 + ... + 911846.

It is an arithmetic number, because the mean of its divisors is an integer number (3204036).

Almost surely, 2157734480 is an apocalyptic number.

157734480 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 157734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256322880).

157734480 is an abundant number, since it is smaller than the sum of its proper divisors (354911280).

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

157734480 is a wasteful number, since it uses less digits than its factorization.

157734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 157734480 is about 12559.2388304387. The cubic root of 157734480 is about 540.3090138060.

The spelling of 157734480 in words is "one hundred fifty-seven million, seven hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 131 145 173 174 232 240 262 290 346 348 393 435 464 519 524 580 655 692 696 786 865 870 1038 1048 1160 1310 1384 1392 1572 1730 1740 1965 2076 2096 2320 2595 2620 2768 3144 3460 3480 3799 3930 4152 5017 5190 5240 6288 6920 6960 7598 7860 8304 10034 10380 10480 11397 13840 15051 15196 15720 18995 20068 20760 22663 22794 25085 30102 30392 31440 37990 40136 41520 45326 45588 50170 56985 60204 60784 67989 75255 75980 80272 90652 91176 100340 113315 113970 120408 135978 150510 151960 181304 182352 200680 226630 227940 240816 271956 301020 303920 339945 362608 401360 453260 455880 543912 602040 657227 679890 906520 911760 1087824 1204080 1314454 1359780 1813040 1971681 2628908 2719560 3286135 3943362 5257816 5439120 6572270 7886724 9858405 10515632 13144540 15773448 19716810 26289080 31546896 39433620 52578160 78867240 157734480