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151481680 = 24571923619
BaseRepresentation
bin10010000011101…
…10110101010000
3101120001001210121
421001312311100
5302234403210
623010440024
73516400360
oct1101666520
9346031717
10151481680
1178564479
1242893014
13254ca43c
14161929a0
15d4736da
hex9076d50

151481680 has 160 divisors (see below), whose sum is σ = 442828800. Its totient is φ = 46987776.

The previous prime is 151481677. The next prime is 151481767. The reversal of 151481680 is 86184151.

It is a happy number.

It is a congruent number.

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, 244411 + ... + 245029.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680).

Almost surely, 2151481680 is an apocalyptic number.

151481680 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 151481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

151481680 is an abundant number, since it is smaller than the sum of its proper divisors (291347120).

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

151481680 is a wasteful number, since it uses less digits than its factorization.

151481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 151481680 is about 12307.7894034632. The cubic root of 151481680 is about 533.0730222728.

The spelling of 151481680 in words is "one hundred fifty-one million, four hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 230 266 280 304 322 368 380 437 460 532 560 619 644 665 760 805 874 920 1064 1238 1288 1330 1520 1610 1748 1840 2128 2185 2476 2576 2660 3059 3095 3220 3496 4333 4370 4952 5320 6118 6190 6440 6992 8666 8740 9904 10640 11761 12236 12380 12880 14237 15295 17332 17480 21665 23522 24472 24760 28474 30590 34664 34960 43330 47044 48944 49520 56948 58805 61180 69328 71185 82327 86660 94088 99659 113896 117610 122360 142370 164654 173320 188176 199318 227792 235220 244720 270503 284740 329308 346640 398636 411635 470440 498295 541006 569480 658616 797272 823270 940880 996590 1082012 1138960 1317232 1352515 1594544 1646540 1893521 1993180 2164024 2705030 3293080 3787042 3986360 4328048 5410060 6586160 7574084 7972720 9467605 10820120 15148168 18935210 21640240 30296336 37870420 75740840 151481680