Search a number
-
+
152399100 = 223527312341
BaseRepresentation
bin10010001010101…
…10110011111100
3101121202200021010
421011112303330
5303003232400
623042235220
73530241150
oct1105266374
9347680233
10152399100
1179030777
1243055b10
132575bba9
1416351060
15d5a5450
hex9156cfc

152399100 has 144 divisors (see below), whose sum is σ = 520411136. Its totient is φ = 33696000.

The previous prime is 152399087. The next prime is 152399129. The reversal of 152399100 is 1993251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63930 + ... + 66270.

Almost surely, 2152399100 is an apocalyptic number.

152399100 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 152399100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260205568).

152399100 is an abundant number, since it is smaller than the sum of its proper divisors (368012036).

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

152399100 is a wasteful number, since it uses less digits than its factorization.

152399100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 152399100 is about 12345.0030376667. The cubic root of 152399100 is about 534.1470088595.

The spelling of 152399100 in words is "one hundred fifty-two million, three hundred ninety-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2341 2604 3100 3255 4340 4650 4682 5425 6510 7023 9300 9364 10850 11705 13020 14046 16275 16387 21700 23410 28092 32550 32774 35115 46820 49161 58525 65100 65548 70230 72571 81935 98322 117050 140460 145142 163870 175575 196644 217713 234100 245805 290284 327740 351150 362855 409675 435426 491610 507997 702300 725710 819350 870852 983220 1015994 1088565 1229025 1451420 1523991 1638700 1814275 2031988 2177130 2458050 2539985 3047982 3628550 4354260 4916100 5079970 5442825 6095964 7257100 7619955 10159940 10885650 12699925 15239910 21771300 25399850 30479820 38099775 50799700 76199550 152399100