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146701620 = 223251371883
BaseRepresentation
bin10001011111001…
…11110100110100
3101020001012210100
420233213310310
5300023422440
622320154100
73430641342
oct1057476464
9336035710
10146701620
117589a10a
1241168930
13245157c0
14156aa992
15cd2c230
hex8be7d34

146701620 has 144 divisors (see below), whose sum is σ = 486525312. Its totient is φ = 35562240.

The previous prime is 146701609. The next prime is 146701627. The reversal of 146701620 is 26107641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146701627) 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, 165699 + ... + 166581.

It is an arithmetic number, because the mean of its divisors is an integer number (3378648).

Almost surely, 2146701620 is an apocalyptic number.

146701620 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 146701620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243262656).

146701620 is an abundant number, since it is smaller than the sum of its proper divisors (339823692).

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

146701620 is a wasteful number, since it uses less digits than its factorization.

146701620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 146701620 is about 12112.0444186768. The cubic root of 146701620 is about 527.4058830461.

It can be divided in two parts, 14670 and 1620, that added together give a triangular number (16290 = T180).

The spelling of 146701620 in words is "one hundred forty-six million, seven hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 883 923 1065 1170 1278 1420 1766 1846 2130 2340 2556 2649 2769 3195 3532 3692 4260 4415 4615 5298 5538 6390 7947 8307 8830 9230 10596 11076 11479 12780 13245 13845 15894 16614 17660 18460 22958 26490 27690 31788 33228 34437 39735 41535 45916 52980 55380 57395 62693 68874 79470 83070 103311 114790 125386 137748 158940 166140 172185 188079 206622 229580 250772 313465 344370 376158 413244 516555 564237 626930 688740 752316 815009 940395 1033110 1128474 1253860 1630018 1880790 2066220 2256948 2445027 2821185 3260036 3761580 4075045 4890054 5642370 7335081 8150090 9780108 11284740 12225135 14670162 16300180 24450270 29340324 36675405 48900540 73350810 146701620